What is the Greatest Common Factor of 64239 and 64253?

Greatest common factor (GCF) of 64239 and 64253 is 7.

GCF(64239,64253) = 7

We will now calculate the prime factors of 64239 and 64253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64239 and 64253.

How to find the GCF of 64239 and 64253?

We will first find the prime factorization of 64239 and 64253. After we will calculate the factors of 64239 and 64253 and find the biggest common factor number .

Step-1: Prime Factorization of 64239

Prime factors of 64239 are 3, 7, 19, 23. Prime factorization of 64239 in exponential form is:

64239 = 3¹ × 7² × 19¹ × 23¹

Step-2: Prime Factorization of 64253

Prime factors of 64253 are 7, 67, 137. Prime factorization of 64253 in exponential form is:

64253 = 7¹ × 67¹ × 137¹

Step-3: Factors of 64239

List of positive integer factors of 64239 that divides 64239 without a remainder.

1, 3, 7, 19, 21, 23, 49, 57, 69, 133, 147, 161, 399, 437, 483, 931, 1127, 1311, 2793, 3059, 3381, 9177, 21413

Step-4: Factors of 64253

List of positive integer factors of 64253 that divides 64239 without a remainder.

1, 7, 67, 137, 469, 959, 9179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64239 and 64253. The biggest common factor number is the GCF number.
So the greatest common factor 64239 and 64253 is 7.

Also check out the Least Common Multiple of 64239 and 64253