What is the Greatest Common Factor of 64620 and 64634?

Greatest common factor (GCF) of 64620 and 64634 is 2.

GCF(64620,64634) = 2

We will now calculate the prime factors of 64620 and 64634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64620 and 64634.

How to find the GCF of 64620 and 64634?

We will first find the prime factorization of 64620 and 64634. After we will calculate the factors of 64620 and 64634 and find the biggest common factor number .

Step-1: Prime Factorization of 64620

Prime factors of 64620 are 2, 3, 5, 359. Prime factorization of 64620 in exponential form is:

64620 = 2² × 3² × 5¹ × 359¹

Step-2: Prime Factorization of 64634

Prime factors of 64634 are 2, 17, 1901. Prime factorization of 64634 in exponential form is:

64634 = 2¹ × 17¹ × 1901¹

Step-3: Factors of 64620

List of positive integer factors of 64620 that divides 64620 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 359, 718, 1077, 1436, 1795, 2154, 3231, 3590, 4308, 5385, 6462, 7180, 10770, 12924, 16155, 21540, 32310

Step-4: Factors of 64634

List of positive integer factors of 64634 that divides 64620 without a remainder.

1, 2, 17, 34, 1901, 3802, 32317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64620 and 64634. The biggest common factor number is the GCF number.
So the greatest common factor 64620 and 64634 is 2.

Also check out the Least Common Multiple of 64620 and 64634