<h2>
Answer:</h2>
Greatest common factor (GCF) of 30 and 36 is 6.
<h2>
Step-by-step explanation:</h2>
<u>We will now calculate the prime factors of 30 and 36, than find the greatest common factor of the numbers by matching the biggest common factor of 30 and 36.
</u>
Prime Factorization of 30
Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:
<u>
30 = 2 × 3 × 5</u>
Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
<u>36 = 2 × 3</u>
<u />
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15
Factors of 36
List of positive integer factors of 36 that divides 30 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Greatest Common Factor
We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number.
<em>So the greatest common factor 30 and 36 is 6.</em>
