What is the Greatest Common Factor of 94560 and 94570?

Greatest common factor (GCF) of 94560 and 94570 is 10.

GCF(94560,94570) = 10

We will now calculate the prime factors of 94560 and 94570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94560 and 94570.

How to find the GCF of 94560 and 94570?

We will first find the prime factorization of 94560 and 94570. After we will calculate the factors of 94560 and 94570 and find the biggest common factor number .

Step-1: Prime Factorization of 94560

Prime factors of 94560 are 2, 3, 5, 197. Prime factorization of 94560 in exponential form is:

94560 = 2⁵ × 3¹ × 5¹ × 197¹

Step-2: Prime Factorization of 94570

Prime factors of 94570 are 2, 5, 7, 193. Prime factorization of 94570 in exponential form is:

94570 = 2¹ × 5¹ × 7² × 193¹

Step-3: Factors of 94560

List of positive integer factors of 94560 that divides 94560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 197, 240, 394, 480, 591, 788, 985, 1182, 1576, 1970, 2364, 2955, 3152, 3940, 4728, 5910, 6304, 7880, 9456, 11820, 15760, 18912, 23640, 31520, 47280

Step-4: Factors of 94570

List of positive integer factors of 94570 that divides 94560 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 193, 245, 386, 490, 965, 1351, 1930, 2702, 6755, 9457, 13510, 18914, 47285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94560 and 94570. The biggest common factor number is the GCF number.
So the greatest common factor 94560 and 94570 is 10.

Also check out the Least Common Multiple of 94560 and 94570