What is the Greatest Common Factor of 56924 and 56938?

Greatest common factor (GCF) of 56924 and 56938 is 14.

GCF(56924,56938) = 14

We will now calculate the prime factors of 56924 and 56938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56924 and 56938.

How to find the GCF of 56924 and 56938?

We will first find the prime factorization of 56924 and 56938. After we will calculate the factors of 56924 and 56938 and find the biggest common factor number .

Step-1: Prime Factorization of 56924

Prime factors of 56924 are 2, 7, 19, 107. Prime factorization of 56924 in exponential form is:

56924 = 2² × 7¹ × 19¹ × 107¹

Step-2: Prime Factorization of 56938

Prime factors of 56938 are 2, 7, 83. Prime factorization of 56938 in exponential form is:

56938 = 2¹ × 7³ × 83¹

Step-3: Factors of 56924

List of positive integer factors of 56924 that divides 56924 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 107, 133, 214, 266, 428, 532, 749, 1498, 2033, 2996, 4066, 8132, 14231, 28462

Step-4: Factors of 56938

List of positive integer factors of 56938 that divides 56924 without a remainder.

1, 2, 7, 14, 49, 83, 98, 166, 343, 581, 686, 1162, 4067, 8134, 28469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56924 and 56938. The biggest common factor number is the GCF number.
So the greatest common factor 56924 and 56938 is 14.

Also check out the Least Common Multiple of 56924 and 56938