What is the Greatest Common Factor of 98016 and 98025?

Greatest common factor (GCF) of 98016 and 98025 is 3.

GCF(98016,98025) = 3

We will now calculate the prime factors of 98016 and 98025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98016 and 98025.

How to find the GCF of 98016 and 98025?

We will first find the prime factorization of 98016 and 98025. After we will calculate the factors of 98016 and 98025 and find the biggest common factor number .

Step-1: Prime Factorization of 98016

Prime factors of 98016 are 2, 3, 1021. Prime factorization of 98016 in exponential form is:

98016 = 2⁵ × 3¹ × 1021¹

Step-2: Prime Factorization of 98025

Prime factors of 98025 are 3, 5, 1307. Prime factorization of 98025 in exponential form is:

98025 = 3¹ × 5² × 1307¹

Step-3: Factors of 98016

List of positive integer factors of 98016 that divides 98016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504, 32672, 49008

Step-4: Factors of 98025

List of positive integer factors of 98025 that divides 98016 without a remainder.

1, 3, 5, 15, 25, 75, 1307, 3921, 6535, 19605, 32675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98016 and 98025. The biggest common factor number is the GCF number.
So the greatest common factor 98016 and 98025 is 3.

Also check out the Least Common Multiple of 98016 and 98025