What is the Greatest Common Factor of 64758 and 64767?

Greatest common factor (GCF) of 64758 and 64767 is 3.

GCF(64758,64767) = 3

We will now calculate the prime factors of 64758 and 64767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64758 and 64767.

How to find the GCF of 64758 and 64767?

We will first find the prime factorization of 64758 and 64767. After we will calculate the factors of 64758 and 64767 and find the biggest common factor number .

Step-1: Prime Factorization of 64758

Prime factors of 64758 are 2, 3, 43, 251. Prime factorization of 64758 in exponential form is:

64758 = 2¹ × 3¹ × 43¹ × 251¹

Step-2: Prime Factorization of 64767

Prime factors of 64767 are 3, 21589. Prime factorization of 64767 in exponential form is:

64767 = 3¹ × 21589¹

Step-3: Factors of 64758

List of positive integer factors of 64758 that divides 64758 without a remainder.

1, 2, 3, 6, 43, 86, 129, 251, 258, 502, 753, 1506, 10793, 21586, 32379

Step-4: Factors of 64767

List of positive integer factors of 64767 that divides 64758 without a remainder.

1, 3, 21589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64758 and 64767. The biggest common factor number is the GCF number.
So the greatest common factor 64758 and 64767 is 3.

Also check out the Least Common Multiple of 64758 and 64767