What is the Greatest Common Factor of 56736 and 56754?

Greatest common factor (GCF) of 56736 and 56754 is 18.

GCF(56736,56754) = 18

We will now calculate the prime factors of 56736 and 56754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56736 and 56754.

How to find the GCF of 56736 and 56754?

We will first find the prime factorization of 56736 and 56754. After we will calculate the factors of 56736 and 56754 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 56754

Prime factors of 56754 are 2, 3, 1051. Prime factorization of 56754 in exponential form is:

56754 = 2¹ × 3³ × 1051¹

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 56754

List of positive integer factors of 56754 that divides 56736 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1051, 2102, 3153, 6306, 9459, 18918, 28377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56736 and 56754. The biggest common factor number is the GCF number.
So the greatest common factor 56736 and 56754 is 18.

Also check out the Least Common Multiple of 56736 and 56754