What is the Greatest Common Factor of 84980 and 84995?

Greatest common factor (GCF) of 84980 and 84995 is 5.

GCF(84980,84995) = 5

We will now calculate the prime factors of 84980 and 84995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84980 and 84995.

How to find the GCF of 84980 and 84995?

We will first find the prime factorization of 84980 and 84995. After we will calculate the factors of 84980 and 84995 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 84995

Prime factors of 84995 are 5, 89, 191. Prime factorization of 84995 in exponential form is:

84995 = 5¹ × 89¹ × 191¹

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 84995

List of positive integer factors of 84995 that divides 84980 without a remainder.

1, 5, 89, 191, 445, 955, 16999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84980 and 84995. The biggest common factor number is the GCF number.
So the greatest common factor 84980 and 84995 is 5.

Also check out the Least Common Multiple of 84980 and 84995