What is the Greatest Common Factor of 98725 and 98742?

Greatest common factor (GCF) of 98725 and 98742 is 1.

GCF(98725,98742) = 1

We will now calculate the prime factors of 98725 and 98742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98725 and 98742.

How to find the GCF of 98725 and 98742?

We will first find the prime factorization of 98725 and 98742. After we will calculate the factors of 98725 and 98742 and find the biggest common factor number .

Step-1: Prime Factorization of 98725

Prime factors of 98725 are 5, 11, 359. Prime factorization of 98725 in exponential form is:

98725 = 5² × 11¹ × 359¹

Step-2: Prime Factorization of 98742

Prime factors of 98742 are 2, 3, 7, 2351. Prime factorization of 98742 in exponential form is:

98742 = 2¹ × 3¹ × 7¹ × 2351¹

Step-3: Factors of 98725

List of positive integer factors of 98725 that divides 98725 without a remainder.

1, 5, 11, 25, 55, 275, 359, 1795, 3949, 8975, 19745

Step-4: Factors of 98742

List of positive integer factors of 98742 that divides 98725 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2351, 4702, 7053, 14106, 16457, 32914, 49371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98725 and 98742. The biggest common factor number is the GCF number.
So the greatest common factor 98725 and 98742 is 1.

Also check out the Least Common Multiple of 98725 and 98742