What is the Greatest Common Factor of 64004 and 64022?

Greatest common factor (GCF) of 64004 and 64022 is 2.

GCF(64004,64022) = 2

We will now calculate the prime factors of 64004 and 64022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64004 and 64022.

How to find the GCF of 64004 and 64022?

We will first find the prime factorization of 64004 and 64022. After we will calculate the factors of 64004 and 64022 and find the biggest common factor number .

Step-1: Prime Factorization of 64004

Prime factors of 64004 are 2, 16001. Prime factorization of 64004 in exponential form is:

64004 = 2² × 16001¹

Step-2: Prime Factorization of 64022

Prime factors of 64022 are 2, 7, 17, 269. Prime factorization of 64022 in exponential form is:

64022 = 2¹ × 7¹ × 17¹ × 269¹

Step-3: Factors of 64004

List of positive integer factors of 64004 that divides 64004 without a remainder.

1, 2, 4, 16001, 32002

Step-4: Factors of 64022

List of positive integer factors of 64022 that divides 64004 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 269, 538, 1883, 3766, 4573, 9146, 32011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64004 and 64022. The biggest common factor number is the GCF number.
So the greatest common factor 64004 and 64022 is 2.

Also check out the Least Common Multiple of 64004 and 64022