What is the Greatest Common Factor of 92920 and 92938?

Greatest common factor (GCF) of 92920 and 92938 is 2.

GCF(92920,92938) = 2

We will now calculate the prime factors of 92920 and 92938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92920 and 92938.

How to find the GCF of 92920 and 92938?

We will first find the prime factorization of 92920 and 92938. After we will calculate the factors of 92920 and 92938 and find the biggest common factor number .

Step-1: Prime Factorization of 92920

Prime factors of 92920 are 2, 5, 23, 101. Prime factorization of 92920 in exponential form is:

92920 = 2³ × 5¹ × 23¹ × 101¹

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 92920

List of positive integer factors of 92920 that divides 92920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 101, 115, 184, 202, 230, 404, 460, 505, 808, 920, 1010, 2020, 2323, 4040, 4646, 9292, 11615, 18584, 23230, 46460

Step-4: Factors of 92938

List of positive integer factors of 92938 that divides 92920 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92920 and 92938. The biggest common factor number is the GCF number.
So the greatest common factor 92920 and 92938 is 2.

Also check out the Least Common Multiple of 92920 and 92938