What is the Greatest Common Factor of 65472 and 65489?

Greatest common factor (GCF) of 65472 and 65489 is 1.

GCF(65472,65489) = 1

We will now calculate the prime factors of 65472 and 65489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65472 and 65489.

How to find the GCF of 65472 and 65489?

We will first find the prime factorization of 65472 and 65489. After we will calculate the factors of 65472 and 65489 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 65489

Prime factors of 65489 are 43, 1523. Prime factorization of 65489 in exponential form is:

65489 = 43¹ × 1523¹

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 65489

List of positive integer factors of 65489 that divides 65472 without a remainder.

1, 43, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65472 and 65489. The biggest common factor number is the GCF number.
So the greatest common factor 65472 and 65489 is 1.

Also check out the Least Common Multiple of 65472 and 65489