What is the Greatest Common Factor of 94740 and 94760?

Greatest common factor (GCF) of 94740 and 94760 is 20.

GCF(94740,94760) = 20

We will now calculate the prime factors of 94740 and 94760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94740 and 94760.

How to find the GCF of 94740 and 94760?

We will first find the prime factorization of 94740 and 94760. After we will calculate the factors of 94740 and 94760 and find the biggest common factor number .

Step-1: Prime Factorization of 94740

Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:

94740 = 2² × 3¹ × 5¹ × 1579¹

Step-2: Prime Factorization of 94760

Prime factors of 94760 are 2, 5, 23, 103. Prime factorization of 94760 in exponential form is:

94760 = 2³ × 5¹ × 23¹ × 103¹

Step-3: Factors of 94740

List of positive integer factors of 94740 that divides 94740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1579, 3158, 4737, 6316, 7895, 9474, 15790, 18948, 23685, 31580, 47370

Step-4: Factors of 94760

List of positive integer factors of 94760 that divides 94740 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 103, 115, 184, 206, 230, 412, 460, 515, 824, 920, 1030, 2060, 2369, 4120, 4738, 9476, 11845, 18952, 23690, 47380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94740 and 94760. The biggest common factor number is the GCF number.
So the greatest common factor 94740 and 94760 is 20.

Also check out the Least Common Multiple of 94740 and 94760