What is the Greatest Common Factor of 98966 and 98980?

Greatest common factor (GCF) of 98966 and 98980 is 14.

GCF(98966,98980) = 14

We will now calculate the prime factors of 98966 and 98980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98966 and 98980.

How to find the GCF of 98966 and 98980?

We will first find the prime factorization of 98966 and 98980. After we will calculate the factors of 98966 and 98980 and find the biggest common factor number .

Step-1: Prime Factorization of 98966

Prime factors of 98966 are 2, 7, 7069. Prime factorization of 98966 in exponential form is:

98966 = 2¹ × 7¹ × 7069¹

Step-2: Prime Factorization of 98980

Prime factors of 98980 are 2, 5, 7, 101. Prime factorization of 98980 in exponential form is:

98980 = 2² × 5¹ × 7² × 101¹

Step-3: Factors of 98966

List of positive integer factors of 98966 that divides 98966 without a remainder.

1, 2, 7, 14, 7069, 14138, 49483

Step-4: Factors of 98980

List of positive integer factors of 98980 that divides 98966 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 101, 140, 196, 202, 245, 404, 490, 505, 707, 980, 1010, 1414, 2020, 2828, 3535, 4949, 7070, 9898, 14140, 19796, 24745, 49490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98966 and 98980. The biggest common factor number is the GCF number.
So the greatest common factor 98966 and 98980 is 14.

Also check out the Least Common Multiple of 98966 and 98980