What is the Greatest Common Factor of 94760 and 94780?

Greatest common factor (GCF) of 94760 and 94780 is 20.

GCF(94760,94780) = 20

We will now calculate the prime factors of 94760 and 94780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94760 and 94780.

How to find the GCF of 94760 and 94780?

We will first find the prime factorization of 94760 and 94780. After we will calculate the factors of 94760 and 94780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94780

Prime factors of 94780 are 2, 5, 7, 677. Prime factorization of 94780 in exponential form is:

94780 = 2² × 5¹ × 7¹ × 677¹

Step-3: Factors of 94760

List of positive integer factors of 94760 that divides 94760 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

Step-4: Factors of 94780

List of positive integer factors of 94780 that divides 94760 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 677, 1354, 2708, 3385, 4739, 6770, 9478, 13540, 18956, 23695, 47390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94760 and 94780. The biggest common factor number is the GCF number.
So the greatest common factor 94760 and 94780 is 20.

Also check out the Least Common Multiple of 94760 and 94780