What is the Greatest Common Factor of 56924 and 56935?

Greatest common factor (GCF) of 56924 and 56935 is 1.

GCF(56924,56935) = 1

We will now calculate the prime factors of 56924 and 56935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56924 and 56935.

How to find the GCF of 56924 and 56935?

We will first find the prime factorization of 56924 and 56935. After we will calculate the factors of 56924 and 56935 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 56935

Prime factors of 56935 are 5, 59, 193. Prime factorization of 56935 in exponential form is:

56935 = 5¹ × 59¹ × 193¹

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 56935

List of positive integer factors of 56935 that divides 56924 without a remainder.

1, 5, 59, 193, 295, 965, 11387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56924 and 56935. The biggest common factor number is the GCF number.
So the greatest common factor 56924 and 56935 is 1.

Also check out the Least Common Multiple of 56924 and 56935