What is the Greatest Common Factor of 98656 and 98670?

Greatest common factor (GCF) of 98656 and 98670 is 2.

GCF(98656,98670) = 2

We will now calculate the prime factors of 98656 and 98670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98656 and 98670.

How to find the GCF of 98656 and 98670?

We will first find the prime factorization of 98656 and 98670. After we will calculate the factors of 98656 and 98670 and find the biggest common factor number .

Step-1: Prime Factorization of 98656

Prime factors of 98656 are 2, 3083. Prime factorization of 98656 in exponential form is:

98656 = 2⁵ × 3083¹

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 98656

List of positive integer factors of 98656 that divides 98656 without a remainder.

1, 2, 4, 8, 16, 32, 3083, 6166, 12332, 24664, 49328

Step-4: Factors of 98670

List of positive integer factors of 98670 that divides 98656 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 98656 and 98670. The biggest common factor number is the GCF number.
So the greatest common factor 98656 and 98670 is 2.

Also check out the Least Common Multiple of 98656 and 98670