What is the Greatest Common Factor of 64267 and 64274?

Greatest common factor (GCF) of 64267 and 64274 is 7.

GCF(64267,64274) = 7

We will now calculate the prime factors of 64267 and 64274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64267 and 64274.

How to find the GCF of 64267 and 64274?

We will first find the prime factorization of 64267 and 64274. After we will calculate the factors of 64267 and 64274 and find the biggest common factor number .

Step-1: Prime Factorization of 64267

Prime factors of 64267 are 7, 9181. Prime factorization of 64267 in exponential form is:

64267 = 7¹ × 9181¹

Step-2: Prime Factorization of 64274

Prime factors of 64274 are 2, 7, 4591. Prime factorization of 64274 in exponential form is:

64274 = 2¹ × 7¹ × 4591¹

Step-3: Factors of 64267

List of positive integer factors of 64267 that divides 64267 without a remainder.

1, 7, 9181

Step-4: Factors of 64274

List of positive integer factors of 64274 that divides 64267 without a remainder.

1, 2, 7, 14, 4591, 9182, 32137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64267 and 64274. The biggest common factor number is the GCF number.
So the greatest common factor 64267 and 64274 is 7.

Also check out the Least Common Multiple of 64267 and 64274