What is the Greatest Common Factor of 64174 and 64192?

Greatest common factor (GCF) of 64174 and 64192 is 2.

GCF(64174,64192) = 2

We will now calculate the prime factors of 64174 and 64192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64174 and 64192.

How to find the GCF of 64174 and 64192?

We will first find the prime factorization of 64174 and 64192. After we will calculate the factors of 64174 and 64192 and find the biggest common factor number .

Step-1: Prime Factorization of 64174

Prime factors of 64174 are 2, 11, 2917. Prime factorization of 64174 in exponential form is:

64174 = 2¹ × 11¹ × 2917¹

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 64174

List of positive integer factors of 64174 that divides 64174 without a remainder.

1, 2, 11, 22, 2917, 5834, 32087

Step-4: Factors of 64192

List of positive integer factors of 64192 that divides 64174 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 64174 and 64192. The biggest common factor number is the GCF number.
So the greatest common factor 64174 and 64192 is 2.

Also check out the Least Common Multiple of 64174 and 64192