What is the Greatest Common Factor of 65489 and 65496?

Greatest common factor (GCF) of 65489 and 65496 is 1.

GCF(65489,65496) = 1

We will now calculate the prime factors of 65489 and 65496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65489 and 65496.

How to find the GCF of 65489 and 65496?

We will first find the prime factorization of 65489 and 65496. After we will calculate the factors of 65489 and 65496 and find the biggest common factor number .

Step-1: Prime Factorization of 65489

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

65489 = 43¹ × 1523¹

Step-2: Prime Factorization of 65496

Prime factors of 65496 are 2, 3, 2729. Prime factorization of 65496 in exponential form is:

65496 = 2³ × 3¹ × 2729¹

Step-3: Factors of 65489

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

1, 43, 1523

Step-4: Factors of 65496

List of positive integer factors of 65496 that divides 65489 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2729, 5458, 8187, 10916, 16374, 21832, 32748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65489 and 65496. The biggest common factor number is the GCF number.
So the greatest common factor 65489 and 65496 is 1.

Also check out the Least Common Multiple of 65489 and 65496