What is the Greatest Common Factor of 94400 and 94420?

Greatest common factor (GCF) of 94400 and 94420 is 20.

GCF(94400,94420) = 20

We will now calculate the prime factors of 94400 and 94420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94400 and 94420.

How to find the GCF of 94400 and 94420?

We will first find the prime factorization of 94400 and 94420. After we will calculate the factors of 94400 and 94420 and find the biggest common factor number .

Step-1: Prime Factorization of 94400

Prime factors of 94400 are 2, 5, 59. Prime factorization of 94400 in exponential form is:

94400 = 2⁶ × 5² × 59¹

Step-2: Prime Factorization of 94420

Prime factors of 94420 are 2, 5, 4721. Prime factorization of 94420 in exponential form is:

94420 = 2² × 5¹ × 4721¹

Step-3: Factors of 94400

List of positive integer factors of 94400 that divides 94400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 64, 80, 100, 118, 160, 200, 236, 295, 320, 400, 472, 590, 800, 944, 1180, 1475, 1600, 1888, 2360, 2950, 3776, 4720, 5900, 9440, 11800, 18880, 23600, 47200

Step-4: Factors of 94420

List of positive integer factors of 94420 that divides 94400 without a remainder.

1, 2, 4, 5, 10, 20, 4721, 9442, 18884, 23605, 47210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94400 and 94420. The biggest common factor number is the GCF number.
So the greatest common factor 94400 and 94420 is 20.

Also check out the Least Common Multiple of 94400 and 94420