What is the Greatest Common Factor of 76720 and 76740?

Greatest common factor (GCF) of 76720 and 76740 is 20.

GCF(76720,76740) = 20

We will now calculate the prime factors of 76720 and 76740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76720 and 76740.

How to find the GCF of 76720 and 76740?

We will first find the prime factorization of 76720 and 76740. After we will calculate the factors of 76720 and 76740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76740

Prime factors of 76740 are 2, 3, 5, 1279. Prime factorization of 76740 in exponential form is:

76740 = 2² × 3¹ × 5¹ × 1279¹

Step-3: Factors of 76720

List of positive integer factors of 76720 that divides 76720 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

Step-4: Factors of 76740

List of positive integer factors of 76740 that divides 76720 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1279, 2558, 3837, 5116, 6395, 7674, 12790, 15348, 19185, 25580, 38370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76720 and 76740. The biggest common factor number is the GCF number.
So the greatest common factor 76720 and 76740 is 20.

Also check out the Least Common Multiple of 76720 and 76740