What is the Greatest Common Factor of 98270 and 98278?

Greatest common factor (GCF) of 98270 and 98278 is 2.

GCF(98270,98278) = 2

We will now calculate the prime factors of 98270 and 98278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98270 and 98278.

How to find the GCF of 98270 and 98278?

We will first find the prime factorization of 98270 and 98278. After we will calculate the factors of 98270 and 98278 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 98278

Prime factors of 98278 are 2, 49139. Prime factorization of 98278 in exponential form is:

98278 = 2¹ × 49139¹

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 98278

List of positive integer factors of 98278 that divides 98270 without a remainder.

1, 2, 49139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98270 and 98278. The biggest common factor number is the GCF number.
So the greatest common factor 98270 and 98278 is 2.

Also check out the Least Common Multiple of 98270 and 98278