What is the Greatest Common Factor of 98248 and 98252?

Greatest common factor (GCF) of 98248 and 98252 is 4.

GCF(98248,98252) = 4

We will now calculate the prime factors of 98248 and 98252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98248 and 98252.

How to find the GCF of 98248 and 98252?

We will first find the prime factorization of 98248 and 98252. After we will calculate the factors of 98248 and 98252 and find the biggest common factor number .

Step-1: Prime Factorization of 98248

Prime factors of 98248 are 2, 12281. Prime factorization of 98248 in exponential form is:

98248 = 2³ × 12281¹

Step-2: Prime Factorization of 98252

Prime factors of 98252 are 2, 7, 11, 29. Prime factorization of 98252 in exponential form is:

98252 = 2² × 7¹ × 11² × 29¹

Step-3: Factors of 98248

List of positive integer factors of 98248 that divides 98248 without a remainder.

1, 2, 4, 8, 12281, 24562, 49124

Step-4: Factors of 98252

List of positive integer factors of 98252 that divides 98248 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 121, 154, 203, 242, 308, 319, 406, 484, 638, 812, 847, 1276, 1694, 2233, 3388, 3509, 4466, 7018, 8932, 14036, 24563, 49126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98248 and 98252. The biggest common factor number is the GCF number.
So the greatest common factor 98248 and 98252 is 4.

Also check out the Least Common Multiple of 98248 and 98252