What is the Greatest Common Factor of 98294 and 98310?

Greatest common factor (GCF) of 98294 and 98310 is 2.

GCF(98294,98310) = 2

We will now calculate the prime factors of 98294 and 98310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98294 and 98310.

How to find the GCF of 98294 and 98310?

We will first find the prime factorization of 98294 and 98310. After we will calculate the factors of 98294 and 98310 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 98310

Prime factors of 98310 are 2, 3, 5, 29, 113. Prime factorization of 98310 in exponential form is:

98310 = 2¹ × 3¹ × 5¹ × 29¹ × 113¹

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 98310

List of positive integer factors of 98310 that divides 98294 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 113, 145, 174, 226, 290, 339, 435, 565, 678, 870, 1130, 1695, 3277, 3390, 6554, 9831, 16385, 19662, 32770, 49155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98294 and 98310. The biggest common factor number is the GCF number.
So the greatest common factor 98294 and 98310 is 2.

Also check out the Least Common Multiple of 98294 and 98310