What is the Greatest Common Factor of 64175 and 64192?

Greatest common factor (GCF) of 64175 and 64192 is 17.

GCF(64175,64192) = 17

We will now calculate the prime factors of 64175 and 64192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64175 and 64192.

How to find the GCF of 64175 and 64192?

We will first find the prime factorization of 64175 and 64192. After we will calculate the factors of 64175 and 64192 and find the biggest common factor number .

Step-1: Prime Factorization of 64175

Prime factors of 64175 are 5, 17, 151. Prime factorization of 64175 in exponential form is:

64175 = 5² × 17¹ × 151¹

Step-2: Prime Factorization of 64192

Prime factors of 64192 are 2, 17, 59. Prime factorization of 64192 in exponential form is:

64192 = 2⁶ × 17¹ × 59¹

Step-3: Factors of 64175

List of positive integer factors of 64175 that divides 64175 without a remainder.

1, 5, 17, 25, 85, 151, 425, 755, 2567, 3775, 12835

Step-4: Factors of 64192

List of positive integer factors of 64192 that divides 64175 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 59, 64, 68, 118, 136, 236, 272, 472, 544, 944, 1003, 1088, 1888, 2006, 3776, 4012, 8024, 16048, 32096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64175 and 64192. The biggest common factor number is the GCF number.
So the greatest common factor 64175 and 64192 is 17.

Also check out the Least Common Multiple of 64175 and 64192