What is the Greatest Common Factor of 35724 and 35736?

Greatest common factor (GCF) of 35724 and 35736 is 12.

GCF(35724,35736) = 12

We will now calculate the prime factors of 35724 and 35736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35724 and 35736.

How to find the GCF of 35724 and 35736?

We will first find the prime factorization of 35724 and 35736. After we will calculate the factors of 35724 and 35736 and find the biggest common factor number .

Step-1: Prime Factorization of 35724

Prime factors of 35724 are 2, 3, 13, 229. Prime factorization of 35724 in exponential form is:

35724 = 2² × 3¹ × 13¹ × 229¹

Step-2: Prime Factorization of 35736

Prime factors of 35736 are 2, 3, 1489. Prime factorization of 35736 in exponential form is:

35736 = 2³ × 3¹ × 1489¹

Step-3: Factors of 35724

List of positive integer factors of 35724 that divides 35724 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 229, 458, 687, 916, 1374, 2748, 2977, 5954, 8931, 11908, 17862

Step-4: Factors of 35736

List of positive integer factors of 35736 that divides 35724 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1489, 2978, 4467, 5956, 8934, 11912, 17868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35724 and 35736. The biggest common factor number is the GCF number.
So the greatest common factor 35724 and 35736 is 12.

Also check out the Least Common Multiple of 35724 and 35736