What is the Greatest Common Factor of 64134 and 64138?

Greatest common factor (GCF) of 64134 and 64138 is 2.

GCF(64134,64138) = 2

We will now calculate the prime factors of 64134 and 64138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64134 and 64138.

How to find the GCF of 64134 and 64138?

We will first find the prime factorization of 64134 and 64138. After we will calculate the factors of 64134 and 64138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64138

Prime factors of 64138 are 2, 32069. Prime factorization of 64138 in exponential form is:

64138 = 2¹ × 32069¹

Step-3: Factors of 64134

List of positive integer factors of 64134 that divides 64134 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

Step-4: Factors of 64138

List of positive integer factors of 64138 that divides 64134 without a remainder.

1, 2, 32069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64134 and 64138. The biggest common factor number is the GCF number.
So the greatest common factor 64134 and 64138 is 2.

Also check out the Least Common Multiple of 64134 and 64138