What is the Greatest Common Factor of 84980 and 85000?

Greatest common factor (GCF) of 84980 and 85000 is 20.

GCF(84980,85000) = 20

We will now calculate the prime factors of 84980 and 85000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84980 and 85000.

How to find the GCF of 84980 and 85000?

We will first find the prime factorization of 84980 and 85000. After we will calculate the factors of 84980 and 85000 and find the biggest common factor number .

Step-1: Prime Factorization of 84980

Prime factors of 84980 are 2, 5, 7, 607. Prime factorization of 84980 in exponential form is:

84980 = 2² × 5¹ × 7¹ × 607¹

Step-2: Prime Factorization of 85000

Prime factors of 85000 are 2, 5, 17. Prime factorization of 85000 in exponential form is:

85000 = 2³ × 5⁴ × 17¹

Step-3: Factors of 84980

List of positive integer factors of 84980 that divides 84980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 607, 1214, 2428, 3035, 4249, 6070, 8498, 12140, 16996, 21245, 42490

Step-4: Factors of 85000

List of positive integer factors of 85000 that divides 84980 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 125, 136, 170, 200, 250, 340, 425, 500, 625, 680, 850, 1000, 1250, 1700, 2125, 2500, 3400, 4250, 5000, 8500, 10625, 17000, 21250, 42500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84980 and 85000. The biggest common factor number is the GCF number.
So the greatest common factor 84980 and 85000 is 20.

Also check out the Least Common Multiple of 84980 and 85000