What is the Greatest Common Factor of 65472 and 65479?

Greatest common factor (GCF) of 65472 and 65479 is 1.

GCF(65472,65479) = 1

We will now calculate the prime factors of 65472 and 65479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65472 and 65479.

How to find the GCF of 65472 and 65479?

We will first find the prime factorization of 65472 and 65479. After we will calculate the factors of 65472 and 65479 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 65479

Prime factors of 65479 are 65479. Prime factorization of 65479 in exponential form is:

65479 = 65479¹

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 65479

List of positive integer factors of 65479 that divides 65472 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65472 and 65479. The biggest common factor number is the GCF number.
So the greatest common factor 65472 and 65479 is 1.

Also check out the Least Common Multiple of 65472 and 65479