What is the Greatest Common Factor of 65456 and 65472?

Greatest common factor (GCF) of 65456 and 65472 is 16.

GCF(65456,65472) = 16

We will now calculate the prime factors of 65456 and 65472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65456 and 65472.

How to find the GCF of 65456 and 65472?

We will first find the prime factorization of 65456 and 65472. After we will calculate the factors of 65456 and 65472 and find the biggest common factor number .

Step-1: Prime Factorization of 65456

Prime factors of 65456 are 2, 4091. Prime factorization of 65456 in exponential form is:

65456 = 2⁴ × 4091¹

Step-2: Prime Factorization of 65472

Prime factors of 65472 are 2, 3, 11, 31. Prime factorization of 65472 in exponential form is:

65472 = 2⁶ × 3¹ × 11¹ × 31¹

Step-3: Factors of 65456

List of positive integer factors of 65456 that divides 65456 without a remainder.

1, 2, 4, 8, 16, 4091, 8182, 16364, 32728

Step-4: Factors of 65472

List of positive integer factors of 65472 that divides 65456 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 31, 32, 33, 44, 48, 62, 64, 66, 88, 93, 96, 124, 132, 176, 186, 192, 248, 264, 341, 352, 372, 496, 528, 682, 704, 744, 992, 1023, 1056, 1364, 1488, 1984, 2046, 2112, 2728, 2976, 4092, 5456, 5952, 8184, 10912, 16368, 21824, 32736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65456 and 65472. The biggest common factor number is the GCF number.
So the greatest common factor 65456 and 65472 is 16.

Also check out the Least Common Multiple of 65456 and 65472