What is the Greatest Common Factor of 98245 and 98252?

Greatest common factor (GCF) of 98245 and 98252 is 7.

GCF(98245,98252) = 7

We will now calculate the prime factors of 98245 and 98252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98245 and 98252.

How to find the GCF of 98245 and 98252?

We will first find the prime factorization of 98245 and 98252. After we will calculate the factors of 98245 and 98252 and find the biggest common factor number .

Step-1: Prime Factorization of 98245

Prime factors of 98245 are 5, 7, 401. Prime factorization of 98245 in exponential form is:

98245 = 5¹ × 7² × 401¹

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 98245

List of positive integer factors of 98245 that divides 98245 without a remainder.

1, 5, 7, 35, 49, 245, 401, 2005, 2807, 14035, 19649

Step-4: Factors of 98252

List of positive integer factors of 98252 that divides 98245 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 98245 and 98252. The biggest common factor number is the GCF number.
So the greatest common factor 98245 and 98252 is 7.

Also check out the Least Common Multiple of 98245 and 98252