What is the Greatest Common Factor of 76737 and 76746?

Greatest common factor (GCF) of 76737 and 76746 is 3.

GCF(76737,76746) = 3

We will now calculate the prime factors of 76737 and 76746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76737 and 76746.

How to find the GCF of 76737 and 76746?

We will first find the prime factorization of 76737 and 76746. After we will calculate the factors of 76737 and 76746 and find the biggest common factor number .

Step-1: Prime Factorization of 76737

Prime factors of 76737 are 3, 25579. Prime factorization of 76737 in exponential form is:

76737 = 3¹ × 25579¹

Step-2: Prime Factorization of 76746

Prime factors of 76746 are 2, 3, 12791. Prime factorization of 76746 in exponential form is:

76746 = 2¹ × 3¹ × 12791¹

Step-3: Factors of 76737

List of positive integer factors of 76737 that divides 76737 without a remainder.

1, 3, 25579

Step-4: Factors of 76746

List of positive integer factors of 76746 that divides 76737 without a remainder.

1, 2, 3, 6, 12791, 25582, 38373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76737 and 76746. The biggest common factor number is the GCF number.
So the greatest common factor 76737 and 76746 is 3.

Also check out the Least Common Multiple of 76737 and 76746