What is the Greatest Common Factor of 98270 and 98288?

Greatest common factor (GCF) of 98270 and 98288 is 2.

GCF(98270,98288) = 2

We will now calculate the prime factors of 98270 and 98288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98270 and 98288.

How to find the GCF of 98270 and 98288?

We will first find the prime factorization of 98270 and 98288. After we will calculate the factors of 98270 and 98288 and find the biggest common factor number .

Step-1: Prime Factorization of 98270

Prime factors of 98270 are 2, 5, 31, 317. Prime factorization of 98270 in exponential form is:

98270 = 2¹ × 5¹ × 31¹ × 317¹

Step-2: Prime Factorization of 98288

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

98288 = 2⁴ × 6143¹

Step-3: Factors of 98270

List of positive integer factors of 98270 that divides 98270 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310, 317, 634, 1585, 3170, 9827, 19654, 49135

Step-4: Factors of 98288

List of positive integer factors of 98288 that divides 98270 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98270 and 98288. The biggest common factor number is the GCF number.
So the greatest common factor 98270 and 98288 is 2.

Also check out the Least Common Multiple of 98270 and 98288