What is the Greatest Common Factor of 77736 and 77756?

Greatest common factor (GCF) of 77736 and 77756 is 4.

GCF(77736,77756) = 4

We will now calculate the prime factors of 77736 and 77756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77736 and 77756.

How to find the GCF of 77736 and 77756?

We will first find the prime factorization of 77736 and 77756. After we will calculate the factors of 77736 and 77756 and find the biggest common factor number .

Step-1: Prime Factorization of 77736

Prime factors of 77736 are 2, 3, 41, 79. Prime factorization of 77736 in exponential form is:

77736 = 2³ × 3¹ × 41¹ × 79¹

Step-2: Prime Factorization of 77756

Prime factors of 77756 are 2, 7, 2777. Prime factorization of 77756 in exponential form is:

77756 = 2² × 7¹ × 2777¹

Step-3: Factors of 77736

List of positive integer factors of 77736 that divides 77736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 79, 82, 123, 158, 164, 237, 246, 316, 328, 474, 492, 632, 948, 984, 1896, 3239, 6478, 9717, 12956, 19434, 25912, 38868

Step-4: Factors of 77756

List of positive integer factors of 77756 that divides 77736 without a remainder.

1, 2, 4, 7, 14, 28, 2777, 5554, 11108, 19439, 38878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77736 and 77756. The biggest common factor number is the GCF number.
So the greatest common factor 77736 and 77756 is 4.

Also check out the Least Common Multiple of 77736 and 77756