What is the Greatest Common Factor of 98839 and 98852?

Greatest common factor (GCF) of 98839 and 98852 is 13.

GCF(98839,98852) = 13

We will now calculate the prime factors of 98839 and 98852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98839 and 98852.

How to find the GCF of 98839 and 98852?

We will first find the prime factorization of 98839 and 98852. After we will calculate the factors of 98839 and 98852 and find the biggest common factor number .

Step-1: Prime Factorization of 98839

Prime factors of 98839 are 13, 7603. Prime factorization of 98839 in exponential form is:

98839 = 13¹ × 7603¹

Step-2: Prime Factorization of 98852

Prime factors of 98852 are 2, 13, 1901. Prime factorization of 98852 in exponential form is:

98852 = 2² × 13¹ × 1901¹

Step-3: Factors of 98839

List of positive integer factors of 98839 that divides 98839 without a remainder.

1, 13, 7603

Step-4: Factors of 98852

List of positive integer factors of 98852 that divides 98839 without a remainder.

1, 2, 4, 13, 26, 52, 1901, 3802, 7604, 24713, 49426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98839 and 98852. The biggest common factor number is the GCF number.
So the greatest common factor 98839 and 98852 is 13.

Also check out the Least Common Multiple of 98839 and 98852