What is the Greatest Common Factor of 98657 and 98670?

Greatest common factor (GCF) of 98657 and 98670 is 13.

GCF(98657,98670) = 13

We will now calculate the prime factors of 98657 and 98670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98657 and 98670.

How to find the GCF of 98657 and 98670?

We will first find the prime factorization of 98657 and 98670. After we will calculate the factors of 98657 and 98670 and find the biggest common factor number .

Step-1: Prime Factorization of 98657

Prime factors of 98657 are 13, 7589. Prime factorization of 98657 in exponential form is:

98657 = 13¹ × 7589¹

Step-2: 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-3: Factors of 98657

List of positive integer factors of 98657 that divides 98657 without a remainder.

1, 13, 7589

Step-4: Factors of 98670

List of positive integer factors of 98670 that divides 98657 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98657 and 98670. The biggest common factor number is the GCF number.
So the greatest common factor 98657 and 98670 is 13.

Also check out the Least Common Multiple of 98657 and 98670