What is the Greatest Common Factor of 64225 and 64239?

Greatest common factor (GCF) of 64225 and 64239 is 7.

GCF(64225,64239) = 7

We will now calculate the prime factors of 64225 and 64239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64225 and 64239.

How to find the GCF of 64225 and 64239?

We will first find the prime factorization of 64225 and 64239. After we will calculate the factors of 64225 and 64239 and find the biggest common factor number .

Step-1: Prime Factorization of 64225

Prime factors of 64225 are 5, 7, 367. Prime factorization of 64225 in exponential form is:

64225 = 5² × 7¹ × 367¹

Step-2: 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-3: Factors of 64225

List of positive integer factors of 64225 that divides 64225 without a remainder.

1, 5, 7, 25, 35, 175, 367, 1835, 2569, 9175, 12845

Step-4: Factors of 64239

List of positive integer factors of 64239 that divides 64225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64225 and 64239. The biggest common factor number is the GCF number.
So the greatest common factor 64225 and 64239 is 7.

Also check out the Least Common Multiple of 64225 and 64239