What is the Greatest Common Factor of 98238 and 98252?

Greatest common factor (GCF) of 98238 and 98252 is 14.

GCF(98238,98252) = 14

We will now calculate the prime factors of 98238 and 98252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98238 and 98252.

How to find the GCF of 98238 and 98252?

We will first find the prime factorization of 98238 and 98252. After we will calculate the factors of 98238 and 98252 and find the biggest common factor number .

Step-1: Prime Factorization of 98238

Prime factors of 98238 are 2, 3, 7, 2339. Prime factorization of 98238 in exponential form is:

98238 = 2¹ × 3¹ × 7¹ × 2339¹

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 98238

List of positive integer factors of 98238 that divides 98238 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2339, 4678, 7017, 14034, 16373, 32746, 49119

Step-4: Factors of 98252

List of positive integer factors of 98252 that divides 98238 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 98238 and 98252. The biggest common factor number is the GCF number.
So the greatest common factor 98238 and 98252 is 14.

Also check out the Least Common Multiple of 98238 and 98252