What is the Greatest Common Factor of 56394 and 56407?

Greatest common factor (GCF) of 56394 and 56407 is 13.

GCF(56394,56407) = 13

We will now calculate the prime factors of 56394 and 56407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56394 and 56407.

How to find the GCF of 56394 and 56407?

We will first find the prime factorization of 56394 and 56407. After we will calculate the factors of 56394 and 56407 and find the biggest common factor number .

Step-1: Prime Factorization of 56394

Prime factors of 56394 are 2, 3, 13, 241. Prime factorization of 56394 in exponential form is:

56394 = 2¹ × 3² × 13¹ × 241¹

Step-2: Prime Factorization of 56407

Prime factors of 56407 are 13, 4339. Prime factorization of 56407 in exponential form is:

56407 = 13¹ × 4339¹

Step-3: Factors of 56394

List of positive integer factors of 56394 that divides 56394 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 241, 482, 723, 1446, 2169, 3133, 4338, 6266, 9399, 18798, 28197

Step-4: Factors of 56407

List of positive integer factors of 56407 that divides 56394 without a remainder.

1, 13, 4339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56394 and 56407. The biggest common factor number is the GCF number.
So the greatest common factor 56394 and 56407 is 13.

Also check out the Least Common Multiple of 56394 and 56407