What is the Greatest Common Factor of 94480 and 94484?

Greatest common factor (GCF) of 94480 and 94484 is 4.

GCF(94480,94484) = 4

We will now calculate the prime factors of 94480 and 94484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94480 and 94484.

How to find the GCF of 94480 and 94484?

We will first find the prime factorization of 94480 and 94484. After we will calculate the factors of 94480 and 94484 and find the biggest common factor number .

Step-1: Prime Factorization of 94480

Prime factors of 94480 are 2, 5, 1181. Prime factorization of 94480 in exponential form is:

94480 = 2⁴ × 5¹ × 1181¹

Step-2: Prime Factorization of 94484

Prime factors of 94484 are 2, 13, 23, 79. Prime factorization of 94484 in exponential form is:

94484 = 2² × 13¹ × 23¹ × 79¹

Step-3: Factors of 94480

List of positive integer factors of 94480 that divides 94480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1181, 2362, 4724, 5905, 9448, 11810, 18896, 23620, 47240

Step-4: Factors of 94484

List of positive integer factors of 94484 that divides 94480 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 79, 92, 158, 299, 316, 598, 1027, 1196, 1817, 2054, 3634, 4108, 7268, 23621, 47242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94480 and 94484. The biggest common factor number is the GCF number.
So the greatest common factor 94480 and 94484 is 4.

Also check out the Least Common Multiple of 94480 and 94484