What is the Greatest Common Factor of 77712 and 77727?

Greatest common factor (GCF) of 77712 and 77727 is 3.

GCF(77712,77727) = 3

We will now calculate the prime factors of 77712 and 77727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77712 and 77727.

How to find the GCF of 77712 and 77727?

We will first find the prime factorization of 77712 and 77727. After we will calculate the factors of 77712 and 77727 and find the biggest common factor number .

Step-1: Prime Factorization of 77712

Prime factors of 77712 are 2, 3, 1619. Prime factorization of 77712 in exponential form is:

77712 = 2⁴ × 3¹ × 1619¹

Step-2: Prime Factorization of 77727

Prime factors of 77727 are 3, 13, 1993. Prime factorization of 77727 in exponential form is:

77727 = 3¹ × 13¹ × 1993¹

Step-3: Factors of 77712

List of positive integer factors of 77712 that divides 77712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1619, 3238, 4857, 6476, 9714, 12952, 19428, 25904, 38856

Step-4: Factors of 77727

List of positive integer factors of 77727 that divides 77712 without a remainder.

1, 3, 13, 39, 1993, 5979, 25909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77712 and 77727. The biggest common factor number is the GCF number.
So the greatest common factor 77712 and 77727 is 3.

Also check out the Least Common Multiple of 77712 and 77727