What is the Greatest Common Factor of 98575 and 98580?

Greatest common factor (GCF) of 98575 and 98580 is 5.

GCF(98575,98580) = 5

We will now calculate the prime factors of 98575 and 98580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98575 and 98580.

How to find the GCF of 98575 and 98580?

We will first find the prime factorization of 98575 and 98580. After we will calculate the factors of 98575 and 98580 and find the biggest common factor number .

Step-1: Prime Factorization of 98575

Prime factors of 98575 are 5, 3943. Prime factorization of 98575 in exponential form is:

98575 = 5² × 3943¹

Step-2: Prime Factorization of 98580

Prime factors of 98580 are 2, 3, 5, 31, 53. Prime factorization of 98580 in exponential form is:

98580 = 2² × 3¹ × 5¹ × 31¹ × 53¹

Step-3: Factors of 98575

List of positive integer factors of 98575 that divides 98575 without a remainder.

1, 5, 25, 3943, 19715

Step-4: Factors of 98580

List of positive integer factors of 98580 that divides 98575 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 53, 60, 62, 93, 106, 124, 155, 159, 186, 212, 265, 310, 318, 372, 465, 530, 620, 636, 795, 930, 1060, 1590, 1643, 1860, 3180, 3286, 4929, 6572, 8215, 9858, 16430, 19716, 24645, 32860, 49290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98575 and 98580. The biggest common factor number is the GCF number.
So the greatest common factor 98575 and 98580 is 5.

Also check out the Least Common Multiple of 98575 and 98580