What is the Greatest Common Factor of 53712 and 53728?

Greatest common factor (GCF) of 53712 and 53728 is 16.

GCF(53712,53728) = 16

We will now calculate the prime factors of 53712 and 53728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53712 and 53728.

How to find the GCF of 53712 and 53728?

We will first find the prime factorization of 53712 and 53728. After we will calculate the factors of 53712 and 53728 and find the biggest common factor number .

Step-1: Prime Factorization of 53712

Prime factors of 53712 are 2, 3, 373. Prime factorization of 53712 in exponential form is:

53712 = 2⁴ × 3² × 373¹

Step-2: Prime Factorization of 53728

Prime factors of 53728 are 2, 23, 73. Prime factorization of 53728 in exponential form is:

53728 = 2⁵ × 23¹ × 73¹

Step-3: Factors of 53712

List of positive integer factors of 53712 that divides 53712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 373, 746, 1119, 1492, 2238, 2984, 3357, 4476, 5968, 6714, 8952, 13428, 17904, 26856

Step-4: Factors of 53728

List of positive integer factors of 53728 that divides 53712 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 73, 92, 146, 184, 292, 368, 584, 736, 1168, 1679, 2336, 3358, 6716, 13432, 26864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53712 and 53728. The biggest common factor number is the GCF number.
So the greatest common factor 53712 and 53728 is 16.

Also check out the Least Common Multiple of 53712 and 53728