What is the Greatest Common Factor of 37724 and 37736?

Greatest common factor (GCF) of 37724 and 37736 is 4.

GCF(37724,37736) = 4

We will now calculate the prime factors of 37724 and 37736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37724 and 37736.

How to find the GCF of 37724 and 37736?

We will first find the prime factorization of 37724 and 37736. After we will calculate the factors of 37724 and 37736 and find the biggest common factor number .

Step-1: Prime Factorization of 37724

Prime factors of 37724 are 2, 9431. Prime factorization of 37724 in exponential form is:

37724 = 2² × 9431¹

Step-2: Prime Factorization of 37736

Prime factors of 37736 are 2, 53, 89. Prime factorization of 37736 in exponential form is:

37736 = 2³ × 53¹ × 89¹

Step-3: Factors of 37724

List of positive integer factors of 37724 that divides 37724 without a remainder.

1, 2, 4, 9431, 18862

Step-4: Factors of 37736

List of positive integer factors of 37736 that divides 37724 without a remainder.

1, 2, 4, 8, 53, 89, 106, 178, 212, 356, 424, 712, 4717, 9434, 18868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37724 and 37736. The biggest common factor number is the GCF number.
So the greatest common factor 37724 and 37736 is 4.

Also check out the Least Common Multiple of 37724 and 37736