What is the Greatest Common Factor of 65008 and 65022?

Greatest common factor (GCF) of 65008 and 65022 is 2.

GCF(65008,65022) = 2

We will now calculate the prime factors of 65008 and 65022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65008 and 65022.

How to find the GCF of 65008 and 65022?

We will first find the prime factorization of 65008 and 65022. After we will calculate the factors of 65008 and 65022 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 65022

Prime factors of 65022 are 2, 3, 10837. Prime factorization of 65022 in exponential form is:

65022 = 2¹ × 3¹ × 10837¹

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 65022

List of positive integer factors of 65022 that divides 65008 without a remainder.

1, 2, 3, 6, 10837, 21674, 32511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65008 and 65022. The biggest common factor number is the GCF number.
So the greatest common factor 65008 and 65022 is 2.

Also check out the Least Common Multiple of 65008 and 65022