What is the Greatest Common Factor of 98642 and 98660?

Greatest common factor (GCF) of 98642 and 98660 is 2.

GCF(98642,98660) = 2

We will now calculate the prime factors of 98642 and 98660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98642 and 98660.

How to find the GCF of 98642 and 98660?

We will first find the prime factorization of 98642 and 98660. After we will calculate the factors of 98642 and 98660 and find the biggest common factor number .

Step-1: Prime Factorization of 98642

Prime factors of 98642 are 2, 31, 37, 43. Prime factorization of 98642 in exponential form is:

98642 = 2¹ × 31¹ × 37¹ × 43¹

Step-2: Prime Factorization of 98660

Prime factors of 98660 are 2, 5, 4933. Prime factorization of 98660 in exponential form is:

98660 = 2² × 5¹ × 4933¹

Step-3: Factors of 98642

List of positive integer factors of 98642 that divides 98642 without a remainder.

1, 2, 31, 37, 43, 62, 74, 86, 1147, 1333, 1591, 2294, 2666, 3182, 49321

Step-4: Factors of 98660

List of positive integer factors of 98660 that divides 98642 without a remainder.

1, 2, 4, 5, 10, 20, 4933, 9866, 19732, 24665, 49330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98642 and 98660. The biggest common factor number is the GCF number.
So the greatest common factor 98642 and 98660 is 2.

Also check out the Least Common Multiple of 98642 and 98660