What is the Greatest Common Factor of 64614 and 64626?

Greatest common factor (GCF) of 64614 and 64626 is 6.

GCF(64614,64626) = 6

We will now calculate the prime factors of 64614 and 64626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64614 and 64626.

How to find the GCF of 64614 and 64626?

We will first find the prime factorization of 64614 and 64626. After we will calculate the factors of 64614 and 64626 and find the biggest common factor number .

Step-1: Prime Factorization of 64614

Prime factors of 64614 are 2, 3, 11, 89. Prime factorization of 64614 in exponential form is:

64614 = 2¹ × 3¹ × 11² × 89¹

Step-2: Prime Factorization of 64626

Prime factors of 64626 are 2, 3, 10771. Prime factorization of 64626 in exponential form is:

64626 = 2¹ × 3¹ × 10771¹

Step-3: Factors of 64614

List of positive integer factors of 64614 that divides 64614 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 89, 121, 178, 242, 267, 363, 534, 726, 979, 1958, 2937, 5874, 10769, 21538, 32307

Step-4: Factors of 64626

List of positive integer factors of 64626 that divides 64614 without a remainder.

1, 2, 3, 6, 10771, 21542, 32313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64614 and 64626. The biggest common factor number is the GCF number.
So the greatest common factor 64614 and 64626 is 6.

Also check out the Least Common Multiple of 64614 and 64626