What is the Greatest Common Factor of 92924 and 92938?

Greatest common factor (GCF) of 92924 and 92938 is 2.

GCF(92924,92938) = 2

We will now calculate the prime factors of 92924 and 92938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92924 and 92938.

How to find the GCF of 92924 and 92938?

We will first find the prime factorization of 92924 and 92938. After we will calculate the factors of 92924 and 92938 and find the biggest common factor number .

Step-1: Prime Factorization of 92924

Prime factors of 92924 are 2, 13, 1787. Prime factorization of 92924 in exponential form is:

92924 = 2² × 13¹ × 1787¹

Step-2: Prime Factorization of 92938

Prime factors of 92938 are 2, 31, 1499. Prime factorization of 92938 in exponential form is:

92938 = 2¹ × 31¹ × 1499¹

Step-3: Factors of 92924

List of positive integer factors of 92924 that divides 92924 without a remainder.

1, 2, 4, 13, 26, 52, 1787, 3574, 7148, 23231, 46462

Step-4: Factors of 92938

List of positive integer factors of 92938 that divides 92924 without a remainder.

1, 2, 31, 62, 1499, 2998, 46469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92924 and 92938. The biggest common factor number is the GCF number.
So the greatest common factor 92924 and 92938 is 2.

Also check out the Least Common Multiple of 92924 and 92938