What is the Greatest Common Factor of 64072 and 64090?

Greatest common factor (GCF) of 64072 and 64090 is 2.

GCF(64072,64090) = 2

We will now calculate the prime factors of 64072 and 64090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64072 and 64090.

How to find the GCF of 64072 and 64090?

We will first find the prime factorization of 64072 and 64090. After we will calculate the factors of 64072 and 64090 and find the biggest common factor number .

Step-1: Prime Factorization of 64072

Prime factors of 64072 are 2, 8009. Prime factorization of 64072 in exponential form is:

64072 = 2³ × 8009¹

Step-2: Prime Factorization of 64090

Prime factors of 64090 are 2, 5, 13, 17, 29. Prime factorization of 64090 in exponential form is:

64090 = 2¹ × 5¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 64072

List of positive integer factors of 64072 that divides 64072 without a remainder.

1, 2, 4, 8, 8009, 16018, 32036

Step-4: Factors of 64090

List of positive integer factors of 64090 that divides 64072 without a remainder.

1, 2, 5, 10, 13, 17, 26, 29, 34, 58, 65, 85, 130, 145, 170, 221, 290, 377, 442, 493, 754, 986, 1105, 1885, 2210, 2465, 3770, 4930, 6409, 12818, 32045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64072 and 64090. The biggest common factor number is the GCF number.
So the greatest common factor 64072 and 64090 is 2.

Also check out the Least Common Multiple of 64072 and 64090