What is the Greatest Common Factor of 98670 and 98680?

Greatest common factor (GCF) of 98670 and 98680 is 10.

GCF(98670,98680) = 10

We will now calculate the prime factors of 98670 and 98680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98670 and 98680.

How to find the GCF of 98670 and 98680?

We will first find the prime factorization of 98670 and 98680. After we will calculate the factors of 98670 and 98680 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 98680

Prime factors of 98680 are 2, 5, 2467. Prime factorization of 98680 in exponential form is:

98680 = 2³ × 5¹ × 2467¹

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 98680

List of positive integer factors of 98680 that divides 98670 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2467, 4934, 9868, 12335, 19736, 24670, 49340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98670 and 98680. The biggest common factor number is the GCF number.
So the greatest common factor 98670 and 98680 is 10.

Also check out the Least Common Multiple of 98670 and 98680