What is the Greatest Common Factor of 98974 and 98987?

Greatest common factor (GCF) of 98974 and 98987 is 1.

GCF(98974,98987) = 1

We will now calculate the prime factors of 98974 and 98987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98974 and 98987.

How to find the GCF of 98974 and 98987?

We will first find the prime factorization of 98974 and 98987. After we will calculate the factors of 98974 and 98987 and find the biggest common factor number .

Step-1: Prime Factorization of 98974

Prime factors of 98974 are 2, 17, 41, 71. Prime factorization of 98974 in exponential form is:

98974 = 2¹ × 17¹ × 41¹ × 71¹

Step-2: Prime Factorization of 98987

Prime factors of 98987 are 7, 79, 179. Prime factorization of 98987 in exponential form is:

98987 = 7¹ × 79¹ × 179¹

Step-3: Factors of 98974

List of positive integer factors of 98974 that divides 98974 without a remainder.

1, 2, 17, 34, 41, 71, 82, 142, 697, 1207, 1394, 2414, 2911, 5822, 49487

Step-4: Factors of 98987

List of positive integer factors of 98987 that divides 98974 without a remainder.

1, 7, 79, 179, 553, 1253, 14141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98974 and 98987. The biggest common factor number is the GCF number.
So the greatest common factor 98974 and 98987 is 1.

Also check out the Least Common Multiple of 98974 and 98987