What is the Greatest Common Factor of 36922 and 36926?

Greatest common factor (GCF) of 36922 and 36926 is 2.

GCF(36922,36926) = 2

We will now calculate the prime factors of 36922 and 36926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36922 and 36926.

How to find the GCF of 36922 and 36926?

We will first find the prime factorization of 36922 and 36926. After we will calculate the factors of 36922 and 36926 and find the biggest common factor number .

Step-1: Prime Factorization of 36922

Prime factors of 36922 are 2, 18461. Prime factorization of 36922 in exponential form is:

36922 = 2¹ × 18461¹

Step-2: Prime Factorization of 36926

Prime factors of 36926 are 2, 37, 499. Prime factorization of 36926 in exponential form is:

36926 = 2¹ × 37¹ × 499¹

Step-3: Factors of 36922

List of positive integer factors of 36922 that divides 36922 without a remainder.

1, 2, 18461

Step-4: Factors of 36926

List of positive integer factors of 36926 that divides 36922 without a remainder.

1, 2, 37, 74, 499, 998, 18463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36922 and 36926. The biggest common factor number is the GCF number.
So the greatest common factor 36922 and 36926 is 2.

Also check out the Least Common Multiple of 36922 and 36926