What is the Greatest Common Factor of 94750 and 94770?

Greatest common factor (GCF) of 94750 and 94770 is 10.

GCF(94750,94770) = 10

We will now calculate the prime factors of 94750 and 94770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94750 and 94770.

How to find the GCF of 94750 and 94770?

We will first find the prime factorization of 94750 and 94770. After we will calculate the factors of 94750 and 94770 and find the biggest common factor number .

Step-1: Prime Factorization of 94750

Prime factors of 94750 are 2, 5, 379. Prime factorization of 94750 in exponential form is:

94750 = 2¹ × 5³ × 379¹

Step-2: Prime Factorization of 94770

Prime factors of 94770 are 2, 3, 5, 13. Prime factorization of 94770 in exponential form is:

94770 = 2¹ × 3⁶ × 5¹ × 13¹

Step-3: Factors of 94750

List of positive integer factors of 94750 that divides 94750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 379, 758, 1895, 3790, 9475, 18950, 47375

Step-4: Factors of 94770

List of positive integer factors of 94770 that divides 94750 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 81, 90, 117, 130, 135, 162, 195, 234, 243, 270, 351, 390, 405, 486, 585, 702, 729, 810, 1053, 1170, 1215, 1458, 1755, 2106, 2430, 3159, 3510, 3645, 5265, 6318, 7290, 9477, 10530, 15795, 18954, 31590, 47385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94750 and 94770. The biggest common factor number is the GCF number.
So the greatest common factor 94750 and 94770 is 10.

Also check out the Least Common Multiple of 94750 and 94770