What is the Greatest Common Factor of 98456 and 98464?

Greatest common factor (GCF) of 98456 and 98464 is 8.

GCF(98456,98464) = 8

We will now calculate the prime factors of 98456 and 98464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98456 and 98464.

How to find the GCF of 98456 and 98464?

We will first find the prime factorization of 98456 and 98464. After we will calculate the factors of 98456 and 98464 and find the biggest common factor number .

Step-1: Prime Factorization of 98456

Prime factors of 98456 are 2, 31, 397. Prime factorization of 98456 in exponential form is:

98456 = 2³ × 31¹ × 397¹

Step-2: Prime Factorization of 98464

Prime factors of 98464 are 2, 17, 181. Prime factorization of 98464 in exponential form is:

98464 = 2⁵ × 17¹ × 181¹

Step-3: Factors of 98456

List of positive integer factors of 98456 that divides 98456 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 397, 794, 1588, 3176, 12307, 24614, 49228

Step-4: Factors of 98464

List of positive integer factors of 98464 that divides 98456 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 181, 272, 362, 544, 724, 1448, 2896, 3077, 5792, 6154, 12308, 24616, 49232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98456 and 98464. The biggest common factor number is the GCF number.
So the greatest common factor 98456 and 98464 is 8.

Also check out the Least Common Multiple of 98456 and 98464