What is the Greatest Common Factor of 98756 and 98770?

Greatest common factor (GCF) of 98756 and 98770 is 14.

GCF(98756,98770) = 14

We will now calculate the prime factors of 98756 and 98770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98756 and 98770.

How to find the GCF of 98756 and 98770?

We will first find the prime factorization of 98756 and 98770. After we will calculate the factors of 98756 and 98770 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98770

Prime factors of 98770 are 2, 5, 7, 17, 83. Prime factorization of 98770 in exponential form is:

98770 = 2¹ × 5¹ × 7¹ × 17¹ × 83¹

Step-3: Factors of 98756

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

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

Step-4: Factors of 98770

List of positive integer factors of 98770 that divides 98756 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 83, 85, 119, 166, 170, 238, 415, 581, 595, 830, 1162, 1190, 1411, 2822, 2905, 5810, 7055, 9877, 14110, 19754, 49385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98756 and 98770. The biggest common factor number is the GCF number.
So the greatest common factor 98756 and 98770 is 14.

Also check out the Least Common Multiple of 98756 and 98770