What is the Greatest Common Factor of 98572 and 98578?

Greatest common factor (GCF) of 98572 and 98578 is 2.

GCF(98572,98578) = 2

We will now calculate the prime factors of 98572 and 98578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98572 and 98578.

How to find the GCF of 98572 and 98578?

We will first find the prime factorization of 98572 and 98578. After we will calculate the factors of 98572 and 98578 and find the biggest common factor number .

Step-1: Prime Factorization of 98572

Prime factors of 98572 are 2, 19, 1297. Prime factorization of 98572 in exponential form is:

98572 = 2² × 19¹ × 1297¹

Step-2: Prime Factorization of 98578

Prime factors of 98578 are 2, 23, 2143. Prime factorization of 98578 in exponential form is:

98578 = 2¹ × 23¹ × 2143¹

Step-3: Factors of 98572

List of positive integer factors of 98572 that divides 98572 without a remainder.

1, 2, 4, 19, 38, 76, 1297, 2594, 5188, 24643, 49286

Step-4: Factors of 98578

List of positive integer factors of 98578 that divides 98572 without a remainder.

1, 2, 23, 46, 2143, 4286, 49289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98572 and 98578. The biggest common factor number is the GCF number.
So the greatest common factor 98572 and 98578 is 2.

Also check out the Least Common Multiple of 98572 and 98578