What is the Greatest Common Factor of 98910 and 98925?

Greatest common factor (GCF) of 98910 and 98925 is 15.

GCF(98910,98925) = 15

We will now calculate the prime factors of 98910 and 98925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98910 and 98925.

How to find the GCF of 98910 and 98925?

We will first find the prime factorization of 98910 and 98925. After we will calculate the factors of 98910 and 98925 and find the biggest common factor number .

Step-1: Prime Factorization of 98910

Prime factors of 98910 are 2, 3, 5, 7, 157. Prime factorization of 98910 in exponential form is:

98910 = 2¹ × 3² × 5¹ × 7¹ × 157¹

Step-2: 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-3: Factors of 98910

List of positive integer factors of 98910 that divides 98910 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 157, 210, 314, 315, 471, 630, 785, 942, 1099, 1413, 1570, 2198, 2355, 2826, 3297, 4710, 5495, 6594, 7065, 9891, 10990, 14130, 16485, 19782, 32970, 49455

Step-4: Factors of 98925

List of positive integer factors of 98925 that divides 98910 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98910 and 98925. The biggest common factor number is the GCF number.
So the greatest common factor 98910 and 98925 is 15.

Also check out the Least Common Multiple of 98910 and 98925