What is the Greatest Common Factor of 98980 and 98994?

Greatest common factor (GCF) of 98980 and 98994 is 14.

GCF(98980,98994) = 14

We will now calculate the prime factors of 98980 and 98994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98980 and 98994.

How to find the GCF of 98980 and 98994?

We will first find the prime factorization of 98980 and 98994. After we will calculate the factors of 98980 and 98994 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98994

Prime factors of 98994 are 2, 3, 7, 2357. Prime factorization of 98994 in exponential form is:

98994 = 2¹ × 3¹ × 7¹ × 2357¹

Step-3: Factors of 98980

List of positive integer factors of 98980 that divides 98980 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

Step-4: Factors of 98994

List of positive integer factors of 98994 that divides 98980 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2357, 4714, 7071, 14142, 16499, 32998, 49497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98980 and 98994. The biggest common factor number is the GCF number.
So the greatest common factor 98980 and 98994 is 14.

Also check out the Least Common Multiple of 98980 and 98994