What is the Greatest Common Factor of 98714 and 98725?

Greatest common factor (GCF) of 98714 and 98725 is 11.

GCF(98714,98725) = 11

We will now calculate the prime factors of 98714 and 98725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98714 and 98725.

How to find the GCF of 98714 and 98725?

We will first find the prime factorization of 98714 and 98725. After we will calculate the factors of 98714 and 98725 and find the biggest common factor number .

Step-1: Prime Factorization of 98714

Prime factors of 98714 are 2, 7, 11, 641. Prime factorization of 98714 in exponential form is:

98714 = 2¹ × 7¹ × 11¹ × 641¹

Step-2: 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-3: Factors of 98714

List of positive integer factors of 98714 that divides 98714 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 641, 1282, 4487, 7051, 8974, 14102, 49357

Step-4: Factors of 98725

List of positive integer factors of 98725 that divides 98714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98714 and 98725. The biggest common factor number is the GCF number.
So the greatest common factor 98714 and 98725 is 11.

Also check out the Least Common Multiple of 98714 and 98725