What is the Greatest Common Factor of 36932 and 36938?

Greatest common factor (GCF) of 36932 and 36938 is 2.

GCF(36932,36938) = 2

We will now calculate the prime factors of 36932 and 36938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36932 and 36938.

How to find the GCF of 36932 and 36938?

We will first find the prime factorization of 36932 and 36938. After we will calculate the factors of 36932 and 36938 and find the biggest common factor number .

Step-1: Prime Factorization of 36932

Prime factors of 36932 are 2, 7, 1319. Prime factorization of 36932 in exponential form is:

36932 = 2² × 7¹ × 1319¹

Step-2: Prime Factorization of 36938

Prime factors of 36938 are 2, 11, 23, 73. Prime factorization of 36938 in exponential form is:

36938 = 2¹ × 11¹ × 23¹ × 73¹

Step-3: Factors of 36932

List of positive integer factors of 36932 that divides 36932 without a remainder.

1, 2, 4, 7, 14, 28, 1319, 2638, 5276, 9233, 18466

Step-4: Factors of 36938

List of positive integer factors of 36938 that divides 36932 without a remainder.

1, 2, 11, 22, 23, 46, 73, 146, 253, 506, 803, 1606, 1679, 3358, 18469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36932 and 36938. The biggest common factor number is the GCF number.
So the greatest common factor 36932 and 36938 is 2.

Also check out the Least Common Multiple of 36932 and 36938