What is the Greatest Common Factor of 98658 and 98677?

Greatest common factor (GCF) of 98658 and 98677 is 1.

GCF(98658,98677) = 1

We will now calculate the prime factors of 98658 and 98677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98658 and 98677.

How to find the GCF of 98658 and 98677?

We will first find the prime factorization of 98658 and 98677. After we will calculate the factors of 98658 and 98677 and find the biggest common factor number .

Step-1: Prime Factorization of 98658

Prime factors of 98658 are 2, 3, 7, 29. Prime factorization of 98658 in exponential form is:

98658 = 2¹ × 3⁵ × 7¹ × 29¹

Step-2: Prime Factorization of 98677

Prime factors of 98677 are 101, 977. Prime factorization of 98677 in exponential form is:

98677 = 101¹ × 977¹

Step-3: Factors of 98658

List of positive integer factors of 98658 that divides 98658 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 81, 87, 126, 162, 174, 189, 203, 243, 261, 378, 406, 486, 522, 567, 609, 783, 1134, 1218, 1566, 1701, 1827, 2349, 3402, 3654, 4698, 5481, 7047, 10962, 14094, 16443, 32886, 49329

Step-4: Factors of 98677

List of positive integer factors of 98677 that divides 98658 without a remainder.

1, 101, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98658 and 98677. The biggest common factor number is the GCF number.
So the greatest common factor 98658 and 98677 is 1.

Also check out the Least Common Multiple of 98658 and 98677