What is the Greatest Common Factor of 65472 and 65477?

Greatest common factor (GCF) of 65472 and 65477 is 1.

GCF(65472,65477) = 1

We will now calculate the prime factors of 65472 and 65477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65472 and 65477.

How to find the GCF of 65472 and 65477?

We will first find the prime factorization of 65472 and 65477. After we will calculate the factors of 65472 and 65477 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65477

Prime factors of 65477 are 41, 1597. Prime factorization of 65477 in exponential form is:

65477 = 41¹ × 1597¹

Step-3: Factors of 65472

List of positive integer factors of 65472 that divides 65472 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

Step-4: Factors of 65477

List of positive integer factors of 65477 that divides 65472 without a remainder.

1, 41, 1597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65472 and 65477. The biggest common factor number is the GCF number.
So the greatest common factor 65472 and 65477 is 1.

Also check out the Least Common Multiple of 65472 and 65477