What is the Greatest Common Factor of 64174 and 64188?

Greatest common factor (GCF) of 64174 and 64188 is 2.

GCF(64174,64188) = 2

We will now calculate the prime factors of 64174 and 64188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64174 and 64188.

How to find the GCF of 64174 and 64188?

We will first find the prime factorization of 64174 and 64188. After we will calculate the factors of 64174 and 64188 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 64188

Prime factors of 64188 are 2, 3, 1783. Prime factorization of 64188 in exponential form is:

64188 = 2² × 3² × 1783¹

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 64188

List of positive integer factors of 64188 that divides 64174 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1783, 3566, 5349, 7132, 10698, 16047, 21396, 32094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64174 and 64188. The biggest common factor number is the GCF number.
So the greatest common factor 64174 and 64188 is 2.

Also check out the Least Common Multiple of 64174 and 64188