What is the Greatest Common Factor of 98294 and 98312?

Greatest common factor (GCF) of 98294 and 98312 is 2.

GCF(98294,98312) = 2

We will now calculate the prime factors of 98294 and 98312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98294 and 98312.

How to find the GCF of 98294 and 98312?

We will first find the prime factorization of 98294 and 98312. After we will calculate the factors of 98294 and 98312 and find the biggest common factor number .

Step-1: Prime Factorization of 98294

Prime factors of 98294 are 2, 7, 17, 59. Prime factorization of 98294 in exponential form is:

98294 = 2¹ × 7² × 17¹ × 59¹

Step-2: Prime Factorization of 98312

Prime factors of 98312 are 2, 12289. Prime factorization of 98312 in exponential form is:

98312 = 2³ × 12289¹

Step-3: Factors of 98294

List of positive integer factors of 98294 that divides 98294 without a remainder.

1, 2, 7, 14, 17, 34, 49, 59, 98, 118, 119, 238, 413, 826, 833, 1003, 1666, 2006, 2891, 5782, 7021, 14042, 49147

Step-4: Factors of 98312

List of positive integer factors of 98312 that divides 98294 without a remainder.

1, 2, 4, 8, 12289, 24578, 49156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98294 and 98312. The biggest common factor number is the GCF number.
So the greatest common factor 98294 and 98312 is 2.

Also check out the Least Common Multiple of 98294 and 98312