Answer:
4
Step-by-step explanation:
Greatest common factor (GCF) of 36 and 56 is 4.
Step-1: Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 2^2 × 3^2
Step-2: Prime Factorization of 56
Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:
56 = 2^3 × 7^1
Step-3: Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Step-4: Factors of 56
List of positive integer factors of 56 that divides 36 without a remainder.
1, 2, 4, 7, 8, 14, 28
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 56 is 4.
