What is the Greatest Common Factor of 94640 and 94660?

Greatest common factor (GCF) of 94640 and 94660 is 20.

GCF(94640,94660) = 20

We will now calculate the prime factors of 94640 and 94660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94640 and 94660.

How to find the GCF of 94640 and 94660?

We will first find the prime factorization of 94640 and 94660. After we will calculate the factors of 94640 and 94660 and find the biggest common factor number .

Step-1: Prime Factorization of 94640

Prime factors of 94640 are 2, 5, 7, 13. Prime factorization of 94640 in exponential form is:

94640 = 2⁴ × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 94660

Prime factors of 94660 are 2, 5, 4733. Prime factorization of 94660 in exponential form is:

94660 = 2² × 5¹ × 4733¹

Step-3: Factors of 94640

List of positive integer factors of 94640 that divides 94640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 169, 182, 208, 260, 280, 338, 364, 455, 520, 560, 676, 728, 845, 910, 1040, 1183, 1352, 1456, 1690, 1820, 2366, 2704, 3380, 3640, 4732, 5915, 6760, 7280, 9464, 11830, 13520, 18928, 23660, 47320

Step-4: Factors of 94660

List of positive integer factors of 94660 that divides 94640 without a remainder.

1, 2, 4, 5, 10, 20, 4733, 9466, 18932, 23665, 47330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94640 and 94660. The biggest common factor number is the GCF number.
So the greatest common factor 94640 and 94660 is 20.

Also check out the Least Common Multiple of 94640 and 94660