What is the Greatest Common Factor of 64119 and 64130?

Greatest common factor (GCF) of 64119 and 64130 is 11.

GCF(64119,64130) = 11

We will now calculate the prime factors of 64119 and 64130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64119 and 64130.

How to find the GCF of 64119 and 64130?

We will first find the prime factorization of 64119 and 64130. After we will calculate the factors of 64119 and 64130 and find the biggest common factor number .

Step-1: Prime Factorization of 64119

Prime factors of 64119 are 3, 11, 29, 67. Prime factorization of 64119 in exponential form is:

64119 = 3¹ × 11¹ × 29¹ × 67¹

Step-2: Prime Factorization of 64130

Prime factors of 64130 are 2, 5, 11, 53. Prime factorization of 64130 in exponential form is:

64130 = 2¹ × 5¹ × 11² × 53¹

Step-3: Factors of 64119

List of positive integer factors of 64119 that divides 64119 without a remainder.

1, 3, 11, 29, 33, 67, 87, 201, 319, 737, 957, 1943, 2211, 5829, 21373

Step-4: Factors of 64130

List of positive integer factors of 64130 that divides 64119 without a remainder.

1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 121, 242, 265, 530, 583, 605, 1166, 1210, 2915, 5830, 6413, 12826, 32065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64119 and 64130. The biggest common factor number is the GCF number.
So the greatest common factor 64119 and 64130 is 11.

Also check out the Least Common Multiple of 64119 and 64130