What is the Greatest Common Factor of 65460 and 65472?

Greatest common factor (GCF) of 65460 and 65472 is 12.

GCF(65460,65472) = 12

We will now calculate the prime factors of 65460 and 65472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65460 and 65472.

How to find the GCF of 65460 and 65472?

We will first find the prime factorization of 65460 and 65472. After we will calculate the factors of 65460 and 65472 and find the biggest common factor number .

Step-1: Prime Factorization of 65460

Prime factors of 65460 are 2, 3, 5, 1091. Prime factorization of 65460 in exponential form is:

65460 = 2² × 3¹ × 5¹ × 1091¹

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 65460

List of positive integer factors of 65460 that divides 65460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1091, 2182, 3273, 4364, 5455, 6546, 10910, 13092, 16365, 21820, 32730

Step-4: Factors of 65472

List of positive integer factors of 65472 that divides 65460 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 65460 and 65472. The biggest common factor number is the GCF number.
So the greatest common factor 65460 and 65472 is 12.

Also check out the Least Common Multiple of 65460 and 65472