What is the Greatest Common Factor of 37796 and 37807?

Greatest common factor (GCF) of 37796 and 37807 is 11.

GCF(37796,37807) = 11

We will now calculate the prime factors of 37796 and 37807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37796 and 37807.

How to find the GCF of 37796 and 37807?

We will first find the prime factorization of 37796 and 37807. After we will calculate the factors of 37796 and 37807 and find the biggest common factor number .

Step-1: Prime Factorization of 37796

Prime factors of 37796 are 2, 11, 859. Prime factorization of 37796 in exponential form is:

37796 = 2² × 11¹ × 859¹

Step-2: Prime Factorization of 37807

Prime factors of 37807 are 7, 11, 491. Prime factorization of 37807 in exponential form is:

37807 = 7¹ × 11¹ × 491¹

Step-3: Factors of 37796

List of positive integer factors of 37796 that divides 37796 without a remainder.

1, 2, 4, 11, 22, 44, 859, 1718, 3436, 9449, 18898

Step-4: Factors of 37807

List of positive integer factors of 37807 that divides 37796 without a remainder.

1, 7, 11, 77, 491, 3437, 5401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37796 and 37807. The biggest common factor number is the GCF number.
So the greatest common factor 37796 and 37807 is 11.

Also check out the Least Common Multiple of 37796 and 37807