What is the Greatest Common Factor of 65008 and 65014?

Greatest common factor (GCF) of 65008 and 65014 is 2.

GCF(65008,65014) = 2

We will now calculate the prime factors of 65008 and 65014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65008 and 65014.

How to find the GCF of 65008 and 65014?

We will first find the prime factorization of 65008 and 65014. After we will calculate the factors of 65008 and 65014 and find the biggest common factor number .

Step-1: Prime Factorization of 65008

Prime factors of 65008 are 2, 17, 239. Prime factorization of 65008 in exponential form is:

65008 = 2⁴ × 17¹ × 239¹

Step-2: Prime Factorization of 65014

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

65014 = 2¹ × 32507¹

Step-3: Factors of 65008

List of positive integer factors of 65008 that divides 65008 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 239, 272, 478, 956, 1912, 3824, 4063, 8126, 16252, 32504

Step-4: Factors of 65014

List of positive integer factors of 65014 that divides 65008 without a remainder.

1, 2, 32507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65008 and 65014. The biggest common factor number is the GCF number.
So the greatest common factor 65008 and 65014 is 2.

Also check out the Least Common Multiple of 65008 and 65014