What is the Greatest Common Factor of 65014 and 65032?

Greatest common factor (GCF) of 65014 and 65032 is 2.

GCF(65014,65032) = 2

We will now calculate the prime factors of 65014 and 65032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65014 and 65032.

How to find the GCF of 65014 and 65032?

We will first find the prime factorization of 65014 and 65032. After we will calculate the factors of 65014 and 65032 and find the biggest common factor number .

Step-1: Prime Factorization of 65014

Prime factors of 65014 are 2, 32507. Prime factorization of 65014 in exponential form is:

65014 = 2¹ × 32507¹

Step-2: Prime Factorization of 65032

Prime factors of 65032 are 2, 11, 739. Prime factorization of 65032 in exponential form is:

65032 = 2³ × 11¹ × 739¹

Step-3: Factors of 65014

List of positive integer factors of 65014 that divides 65014 without a remainder.

1, 2, 32507

Step-4: Factors of 65032

List of positive integer factors of 65032 that divides 65014 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 739, 1478, 2956, 5912, 8129, 16258, 32516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65014 and 65032. The biggest common factor number is the GCF number.
So the greatest common factor 65014 and 65032 is 2.

Also check out the Least Common Multiple of 65014 and 65032