What is the Greatest Common Factor of 98288 and 98294?

Greatest common factor (GCF) of 98288 and 98294 is 2.

GCF(98288,98294) = 2

We will now calculate the prime factors of 98288 and 98294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98288 and 98294.

How to find the GCF of 98288 and 98294?

We will first find the prime factorization of 98288 and 98294. After we will calculate the factors of 98288 and 98294 and find the biggest common factor number .

Step-1: Prime Factorization of 98288

Prime factors of 98288 are 2, 6143. Prime factorization of 98288 in exponential form is:

98288 = 2⁴ × 6143¹

Step-2: 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-3: Factors of 98288

List of positive integer factors of 98288 that divides 98288 without a remainder.

1, 2, 4, 8, 16, 6143, 12286, 24572, 49144

Step-4: Factors of 98294

List of positive integer factors of 98294 that divides 98288 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98288 and 98294. The biggest common factor number is the GCF number.
So the greatest common factor 98288 and 98294 is 2.

Also check out the Least Common Multiple of 98288 and 98294