What is the Greatest Common Factor of 64022 and 64036?

Greatest common factor (GCF) of 64022 and 64036 is 14.

GCF(64022,64036) = 14

We will now calculate the prime factors of 64022 and 64036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64022 and 64036.

How to find the GCF of 64022 and 64036?

We will first find the prime factorization of 64022 and 64036. After we will calculate the factors of 64022 and 64036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64036

Prime factors of 64036 are 2, 7, 2287. Prime factorization of 64036 in exponential form is:

64036 = 2² × 7¹ × 2287¹

Step-3: Factors of 64022

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

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

Step-4: Factors of 64036

List of positive integer factors of 64036 that divides 64022 without a remainder.

1, 2, 4, 7, 14, 28, 2287, 4574, 9148, 16009, 32018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64022 and 64036. The biggest common factor number is the GCF number.
So the greatest common factor 64022 and 64036 is 14.

Also check out the Least Common Multiple of 64022 and 64036