What is the Greatest Common Factor of 94250 and 94264?

Greatest common factor (GCF) of 94250 and 94264 is 2.

GCF(94250,94264) = 2

We will now calculate the prime factors of 94250 and 94264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94250 and 94264.

How to find the GCF of 94250 and 94264?

We will first find the prime factorization of 94250 and 94264. After we will calculate the factors of 94250 and 94264 and find the biggest common factor number .

Step-1: Prime Factorization of 94250

Prime factors of 94250 are 2, 5, 13, 29. Prime factorization of 94250 in exponential form is:

94250 = 2¹ × 5³ × 13¹ × 29¹

Step-2: Prime Factorization of 94264

Prime factors of 94264 are 2, 11783. Prime factorization of 94264 in exponential form is:

94264 = 2³ × 11783¹

Step-3: Factors of 94250

List of positive integer factors of 94250 that divides 94250 without a remainder.

1, 2, 5, 10, 13, 25, 26, 29, 50, 58, 65, 125, 130, 145, 250, 290, 325, 377, 650, 725, 754, 1450, 1625, 1885, 3250, 3625, 3770, 7250, 9425, 18850, 47125

Step-4: Factors of 94264

List of positive integer factors of 94264 that divides 94250 without a remainder.

1, 2, 4, 8, 11783, 23566, 47132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94250 and 94264. The biggest common factor number is the GCF number.
So the greatest common factor 94250 and 94264 is 2.

Also check out the Least Common Multiple of 94250 and 94264