What is the Greatest Common Factor of 98925 and 98945?

Greatest common factor (GCF) of 98925 and 98945 is 5.

GCF(98925,98945) = 5

We will now calculate the prime factors of 98925 and 98945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98925 and 98945.

How to find the GCF of 98925 and 98945?

We will first find the prime factorization of 98925 and 98945. After we will calculate the factors of 98925 and 98945 and find the biggest common factor number .

Step-1: Prime Factorization of 98925

Prime factors of 98925 are 3, 5, 1319. Prime factorization of 98925 in exponential form is:

98925 = 3¹ × 5² × 1319¹

Step-2: Prime Factorization of 98945

Prime factors of 98945 are 5, 7, 11, 257. Prime factorization of 98945 in exponential form is:

98945 = 5¹ × 7¹ × 11¹ × 257¹

Step-3: Factors of 98925

List of positive integer factors of 98925 that divides 98925 without a remainder.

1, 3, 5, 15, 25, 75, 1319, 3957, 6595, 19785, 32975

Step-4: Factors of 98945

List of positive integer factors of 98945 that divides 98925 without a remainder.

1, 5, 7, 11, 35, 55, 77, 257, 385, 1285, 1799, 2827, 8995, 14135, 19789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98925 and 98945. The biggest common factor number is the GCF number.
So the greatest common factor 98925 and 98945 is 5.

Also check out the Least Common Multiple of 98925 and 98945