Answer:
We found the factors and prime factorization of 42 and 14. The biggest common factor number is the GCF number. So the greatest common factor 42 and 14 is 14.
Step-by-step explanation:
Greatest Common Factor of 42 and 14
Greatest common factor (GCF) of 42 and 14 is 14.
GCF(42,14) = 14
We will now calculate the prime factors of 42 and 14, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 14.
GCF Calculator
Greatest Common Factor of
42
and
14
Calculate GCF
Prime Factorization of 42
Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:
42 = 21 × 31 × 71
Prime Factorization of 14
Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:
14 = 21 × 71
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21
Factors of 14
List of positive integer factors of 14 that divides 42 without a remainder.
1, 2, 7
Greatest Common Factor
We found the factors and prime factorization of 42 and 14. The biggest common factor number is the GCF number.
So the greatest common factor 42 and 14 is 14.
Also check out the Least Common Multiple of 42 and 14