What is the Greatest Common Factor of 98152 and 98172?

Greatest common factor (GCF) of 98152 and 98172 is 4.

GCF(98152,98172) = 4

We will now calculate the prime factors of 98152 and 98172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98152 and 98172.

How to find the GCF of 98152 and 98172?

We will first find the prime factorization of 98152 and 98172. After we will calculate the factors of 98152 and 98172 and find the biggest common factor number .

Step-1: Prime Factorization of 98152

Prime factors of 98152 are 2, 12269. Prime factorization of 98152 in exponential form is:

98152 = 2³ × 12269¹

Step-2: Prime Factorization of 98172

Prime factors of 98172 are 2, 3, 101. Prime factorization of 98172 in exponential form is:

98172 = 2² × 3⁵ × 101¹

Step-3: Factors of 98152

List of positive integer factors of 98152 that divides 98152 without a remainder.

1, 2, 4, 8, 12269, 24538, 49076

Step-4: Factors of 98172

List of positive integer factors of 98172 that divides 98152 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 101, 108, 162, 202, 243, 303, 324, 404, 486, 606, 909, 972, 1212, 1818, 2727, 3636, 5454, 8181, 10908, 16362, 24543, 32724, 49086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98152 and 98172. The biggest common factor number is the GCF number.
So the greatest common factor 98152 and 98172 is 4.

Also check out the Least Common Multiple of 98152 and 98172