What is the Greatest Common Factor of 64120 and 64134?

Greatest common factor (GCF) of 64120 and 64134 is 14.

GCF(64120,64134) = 14

We will now calculate the prime factors of 64120 and 64134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64120 and 64134.

How to find the GCF of 64120 and 64134?

We will first find the prime factorization of 64120 and 64134. After we will calculate the factors of 64120 and 64134 and find the biggest common factor number .

Step-1: Prime Factorization of 64120

Prime factors of 64120 are 2, 5, 7, 229. Prime factorization of 64120 in exponential form is:

64120 = 2³ × 5¹ × 7¹ × 229¹

Step-2: Prime Factorization of 64134

Prime factors of 64134 are 2, 3, 7, 509. Prime factorization of 64134 in exponential form is:

64134 = 2¹ × 3² × 7¹ × 509¹

Step-3: Factors of 64120

List of positive integer factors of 64120 that divides 64120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 229, 280, 458, 916, 1145, 1603, 1832, 2290, 3206, 4580, 6412, 8015, 9160, 12824, 16030, 32060

Step-4: Factors of 64134

List of positive integer factors of 64134 that divides 64120 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 509, 1018, 1527, 3054, 3563, 4581, 7126, 9162, 10689, 21378, 32067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64120 and 64134. The biggest common factor number is the GCF number.
So the greatest common factor 64120 and 64134 is 14.

Also check out the Least Common Multiple of 64120 and 64134