What is the Greatest Common Factor of 98552 and 98570?

Greatest common factor (GCF) of 98552 and 98570 is 2.

GCF(98552,98570) = 2

We will now calculate the prime factors of 98552 and 98570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98552 and 98570.

How to find the GCF of 98552 and 98570?

We will first find the prime factorization of 98552 and 98570. After we will calculate the factors of 98552 and 98570 and find the biggest common factor number .

Step-1: Prime Factorization of 98552

Prime factors of 98552 are 2, 97, 127. Prime factorization of 98552 in exponential form is:

98552 = 2³ × 97¹ × 127¹

Step-2: Prime Factorization of 98570

Prime factors of 98570 are 2, 5, 9857. Prime factorization of 98570 in exponential form is:

98570 = 2¹ × 5¹ × 9857¹

Step-3: Factors of 98552

List of positive integer factors of 98552 that divides 98552 without a remainder.

1, 2, 4, 8, 97, 127, 194, 254, 388, 508, 776, 1016, 12319, 24638, 49276

Step-4: Factors of 98570

List of positive integer factors of 98570 that divides 98552 without a remainder.

1, 2, 5, 10, 9857, 19714, 49285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98552 and 98570. The biggest common factor number is the GCF number.
So the greatest common factor 98552 and 98570 is 2.

Also check out the Least Common Multiple of 98552 and 98570