What is the Greatest Common Factor of 64626 and 64635?

Greatest common factor (GCF) of 64626 and 64635 is 3.

GCF(64626,64635) = 3

We will now calculate the prime factors of 64626 and 64635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64626 and 64635.

How to find the GCF of 64626 and 64635?

We will first find the prime factorization of 64626 and 64635. After we will calculate the factors of 64626 and 64635 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64635

Prime factors of 64635 are 3, 5, 31, 139. Prime factorization of 64635 in exponential form is:

64635 = 3¹ × 5¹ × 31¹ × 139¹

Step-3: Factors of 64626

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

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

Step-4: Factors of 64635

List of positive integer factors of 64635 that divides 64626 without a remainder.

1, 3, 5, 15, 31, 93, 139, 155, 417, 465, 695, 2085, 4309, 12927, 21545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64626 and 64635. The biggest common factor number is the GCF number.
So the greatest common factor 64626 and 64635 is 3.

Also check out the Least Common Multiple of 64626 and 64635