What is the Greatest Common Factor of 76749 and 76756?

Greatest common factor (GCF) of 76749 and 76756 is 1.

GCF(76749,76756) = 1

We will now calculate the prime factors of 76749 and 76756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76749 and 76756.

How to find the GCF of 76749 and 76756?

We will first find the prime factorization of 76749 and 76756. After we will calculate the factors of 76749 and 76756 and find the biggest common factor number .

Step-1: Prime Factorization of 76749

Prime factors of 76749 are 3, 25583. Prime factorization of 76749 in exponential form is:

76749 = 3¹ × 25583¹

Step-2: Prime Factorization of 76756

Prime factors of 76756 are 2, 31, 619. Prime factorization of 76756 in exponential form is:

76756 = 2² × 31¹ × 619¹

Step-3: Factors of 76749

List of positive integer factors of 76749 that divides 76749 without a remainder.

1, 3, 25583

Step-4: Factors of 76756

List of positive integer factors of 76756 that divides 76749 without a remainder.

1, 2, 4, 31, 62, 124, 619, 1238, 2476, 19189, 38378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76749 and 76756. The biggest common factor number is the GCF number.
So the greatest common factor 76749 and 76756 is 1.

Also check out the Least Common Multiple of 76749 and 76756