What is the Greatest Common Factor of 56736 and 56755?

Greatest common factor (GCF) of 56736 and 56755 is 1.

GCF(56736,56755) = 1

We will now calculate the prime factors of 56736 and 56755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56736 and 56755.

How to find the GCF of 56736 and 56755?

We will first find the prime factorization of 56736 and 56755. After we will calculate the factors of 56736 and 56755 and find the biggest common factor number .

Step-1: Prime Factorization of 56736

Prime factors of 56736 are 2, 3, 197. Prime factorization of 56736 in exponential form is:

56736 = 2⁵ × 3² × 197¹

Step-2: Prime Factorization of 56755

Prime factors of 56755 are 5, 11351. Prime factorization of 56755 in exponential form is:

56755 = 5¹ × 11351¹

Step-3: Factors of 56736

List of positive integer factors of 56736 that divides 56736 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 197, 288, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 6304, 7092, 9456, 14184, 18912, 28368

Step-4: Factors of 56755

List of positive integer factors of 56755 that divides 56736 without a remainder.

1, 5, 11351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56736 and 56755. The biggest common factor number is the GCF number.
So the greatest common factor 56736 and 56755 is 1.

Also check out the Least Common Multiple of 56736 and 56755