What is the Greatest Common Factor of 98749 and 98756?

Greatest common factor (GCF) of 98749 and 98756 is 7.

GCF(98749,98756) = 7

We will now calculate the prime factors of 98749 and 98756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98749 and 98756.

How to find the GCF of 98749 and 98756?

We will first find the prime factorization of 98749 and 98756. After we will calculate the factors of 98749 and 98756 and find the biggest common factor number .

Step-1: Prime Factorization of 98749

Prime factors of 98749 are 7, 14107. Prime factorization of 98749 in exponential form is:

98749 = 7¹ × 14107¹

Step-2: Prime Factorization of 98756

Prime factors of 98756 are 2, 7, 3527. Prime factorization of 98756 in exponential form is:

98756 = 2² × 7¹ × 3527¹

Step-3: Factors of 98749

List of positive integer factors of 98749 that divides 98749 without a remainder.

1, 7, 14107

Step-4: Factors of 98756

List of positive integer factors of 98756 that divides 98749 without a remainder.

1, 2, 4, 7, 14, 28, 3527, 7054, 14108, 24689, 49378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98749 and 98756. The biggest common factor number is the GCF number.
So the greatest common factor 98749 and 98756 is 7.

Also check out the Least Common Multiple of 98749 and 98756