What is the Greatest Common Factor of 98670 and 98675?

Greatest common factor (GCF) of 98670 and 98675 is 5.

GCF(98670,98675) = 5

We will now calculate the prime factors of 98670 and 98675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98670 and 98675.

How to find the GCF of 98670 and 98675?

We will first find the prime factorization of 98670 and 98675. After we will calculate the factors of 98670 and 98675 and find the biggest common factor number .

Step-1: Prime Factorization of 98670

Prime factors of 98670 are 2, 3, 5, 11, 13, 23. Prime factorization of 98670 in exponential form is:

98670 = 2¹ × 3¹ × 5¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 98675

Prime factors of 98675 are 5, 3947. Prime factorization of 98675 in exponential form is:

98675 = 5² × 3947¹

Step-3: Factors of 98670

List of positive integer factors of 98670 that divides 98670 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 23, 26, 30, 33, 39, 46, 55, 65, 66, 69, 78, 110, 115, 130, 138, 143, 165, 195, 230, 253, 286, 299, 330, 345, 390, 429, 506, 598, 690, 715, 759, 858, 897, 1265, 1430, 1495, 1518, 1794, 2145, 2530, 2990, 3289, 3795, 4290, 4485, 6578, 7590, 8970, 9867, 16445, 19734, 32890, 49335

Step-4: Factors of 98675

List of positive integer factors of 98675 that divides 98670 without a remainder.

1, 5, 25, 3947, 19735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98670 and 98675. The biggest common factor number is the GCF number.
So the greatest common factor 98670 and 98675 is 5.

Also check out the Least Common Multiple of 98670 and 98675