What is the Greatest Common Factor of 98171 and 98182?

Greatest common factor (GCF) of 98171 and 98182 is 1.

GCF(98171,98182) = 1

We will now calculate the prime factors of 98171 and 98182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98171 and 98182.

How to find the GCF of 98171 and 98182?

We will first find the prime factorization of 98171 and 98182. After we will calculate the factors of 98171 and 98182 and find the biggest common factor number .

Step-1: Prime Factorization of 98171

Prime factors of 98171 are 127, 773. Prime factorization of 98171 in exponential form is:

98171 = 127¹ × 773¹

Step-2: Prime Factorization of 98182

Prime factors of 98182 are 2, 7, 7013. Prime factorization of 98182 in exponential form is:

98182 = 2¹ × 7¹ × 7013¹

Step-3: Factors of 98171

List of positive integer factors of 98171 that divides 98171 without a remainder.

1, 127, 773

Step-4: Factors of 98182

List of positive integer factors of 98182 that divides 98171 without a remainder.

1, 2, 7, 14, 7013, 14026, 49091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98171 and 98182. The biggest common factor number is the GCF number.
So the greatest common factor 98171 and 98182 is 1.

Also check out the Least Common Multiple of 98171 and 98182