What is the Greatest Common Factor of 76713 and 76720?

Greatest common factor (GCF) of 76713 and 76720 is 7.

GCF(76713,76720) = 7

We will now calculate the prime factors of 76713 and 76720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76713 and 76720.

How to find the GCF of 76713 and 76720?

We will first find the prime factorization of 76713 and 76720. After we will calculate the factors of 76713 and 76720 and find the biggest common factor number .

Step-1: Prime Factorization of 76713

Prime factors of 76713 are 3, 7, 13, 281. Prime factorization of 76713 in exponential form is:

76713 = 3¹ × 7¹ × 13¹ × 281¹

Step-2: Prime Factorization of 76720

Prime factors of 76720 are 2, 5, 7, 137. Prime factorization of 76720 in exponential form is:

76720 = 2⁴ × 5¹ × 7¹ × 137¹

Step-3: Factors of 76713

List of positive integer factors of 76713 that divides 76713 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 281, 843, 1967, 3653, 5901, 10959, 25571

Step-4: Factors of 76720

List of positive integer factors of 76720 that divides 76713 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 137, 140, 274, 280, 548, 560, 685, 959, 1096, 1370, 1918, 2192, 2740, 3836, 4795, 5480, 7672, 9590, 10960, 15344, 19180, 38360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76713 and 76720. The biggest common factor number is the GCF number.
So the greatest common factor 76713 and 76720 is 7.

Also check out the Least Common Multiple of 76713 and 76720