What is the Greatest Common Factor of 81926 and 81938?

Greatest common factor (GCF) of 81926 and 81938 is 2.

GCF(81926,81938) = 2

We will now calculate the prime factors of 81926 and 81938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81926 and 81938.

How to find the GCF of 81926 and 81938?

We will first find the prime factorization of 81926 and 81938. After we will calculate the factors of 81926 and 81938 and find the biggest common factor number .

Step-1: Prime Factorization of 81926

Prime factors of 81926 are 2, 13, 23, 137. Prime factorization of 81926 in exponential form is:

81926 = 2¹ × 13¹ × 23¹ × 137¹

Step-2: Prime Factorization of 81938

Prime factors of 81938 are 2, 53, 773. Prime factorization of 81938 in exponential form is:

81938 = 2¹ × 53¹ × 773¹

Step-3: Factors of 81926

List of positive integer factors of 81926 that divides 81926 without a remainder.

1, 2, 13, 23, 26, 46, 137, 274, 299, 598, 1781, 3151, 3562, 6302, 40963

Step-4: Factors of 81938

List of positive integer factors of 81938 that divides 81926 without a remainder.

1, 2, 53, 106, 773, 1546, 40969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81926 and 81938. The biggest common factor number is the GCF number.
So the greatest common factor 81926 and 81938 is 2.

Also check out the Least Common Multiple of 81926 and 81938