What is the Greatest Common Factor of 64130 and 64141?

Greatest common factor (GCF) of 64130 and 64141 is 11.

GCF(64130,64141) = 11

We will now calculate the prime factors of 64130 and 64141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64130 and 64141.

How to find the GCF of 64130 and 64141?

We will first find the prime factorization of 64130 and 64141. After we will calculate the factors of 64130 and 64141 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64141

Prime factors of 64141 are 7, 11, 17. Prime factorization of 64141 in exponential form is:

64141 = 7³ × 11¹ × 17¹

Step-3: Factors of 64130

List of positive integer factors of 64130 that divides 64130 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

Step-4: Factors of 64141

List of positive integer factors of 64141 that divides 64130 without a remainder.

1, 7, 11, 17, 49, 77, 119, 187, 343, 539, 833, 1309, 3773, 5831, 9163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64130 and 64141. The biggest common factor number is the GCF number.
So the greatest common factor 64130 and 64141 is 11.

Also check out the Least Common Multiple of 64130 and 64141