What is the Greatest Common Factor of 94980 and 95000?

Greatest common factor (GCF) of 94980 and 95000 is 20.

GCF(94980,95000) = 20

We will now calculate the prime factors of 94980 and 95000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94980 and 95000.

How to find the GCF of 94980 and 95000?

We will first find the prime factorization of 94980 and 95000. After we will calculate the factors of 94980 and 95000 and find the biggest common factor number .

Step-1: Prime Factorization of 94980

Prime factors of 94980 are 2, 3, 5, 1583. Prime factorization of 94980 in exponential form is:

94980 = 2² × 3¹ × 5¹ × 1583¹

Step-2: Prime Factorization of 95000

Prime factors of 95000 are 2, 5, 19. Prime factorization of 95000 in exponential form is:

95000 = 2³ × 5⁴ × 19¹

Step-3: Factors of 94980

List of positive integer factors of 94980 that divides 94980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1583, 3166, 4749, 6332, 7915, 9498, 15830, 18996, 23745, 31660, 47490

Step-4: Factors of 95000

List of positive integer factors of 95000 that divides 94980 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 125, 152, 190, 200, 250, 380, 475, 500, 625, 760, 950, 1000, 1250, 1900, 2375, 2500, 3800, 4750, 5000, 9500, 11875, 19000, 23750, 47500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94980 and 95000. The biggest common factor number is the GCF number.
So the greatest common factor 94980 and 95000 is 20.

Also check out the Least Common Multiple of 94980 and 95000