What is the Greatest Common Factor of 64113 and 64129?

Greatest common factor (GCF) of 64113 and 64129 is 1.

GCF(64113,64129) = 1

We will now calculate the prime factors of 64113 and 64129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64113 and 64129.

How to find the GCF of 64113 and 64129?

We will first find the prime factorization of 64113 and 64129. After we will calculate the factors of 64113 and 64129 and find the biggest common factor number .

Step-1: Prime Factorization of 64113

Prime factors of 64113 are 3, 7, 43, 71. Prime factorization of 64113 in exponential form is:

64113 = 3¹ × 7¹ × 43¹ × 71¹

Step-2: Prime Factorization of 64129

Prime factors of 64129 are 13, 4933. Prime factorization of 64129 in exponential form is:

64129 = 13¹ × 4933¹

Step-3: Factors of 64113

List of positive integer factors of 64113 that divides 64113 without a remainder.

1, 3, 7, 21, 43, 71, 129, 213, 301, 497, 903, 1491, 3053, 9159, 21371

Step-4: Factors of 64129

List of positive integer factors of 64129 that divides 64113 without a remainder.

1, 13, 4933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64113 and 64129. The biggest common factor number is the GCF number.
So the greatest common factor 64113 and 64129 is 1.

Also check out the Least Common Multiple of 64113 and 64129