What is the Greatest Common Factor of 98642 and 98652?

Greatest common factor (GCF) of 98642 and 98652 is 2.

GCF(98642,98652) = 2

We will now calculate the prime factors of 98642 and 98652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98642 and 98652.

How to find the GCF of 98642 and 98652?

We will first find the prime factorization of 98642 and 98652. After we will calculate the factors of 98642 and 98652 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 98652

Prime factors of 98652 are 2, 3, 8221. Prime factorization of 98652 in exponential form is:

98652 = 2² × 3¹ × 8221¹

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 98652

List of positive integer factors of 98652 that divides 98642 without a remainder.

1, 2, 3, 4, 6, 12, 8221, 16442, 24663, 32884, 49326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98642 and 98652. The biggest common factor number is the GCF number.
So the greatest common factor 98642 and 98652 is 2.

Also check out the Least Common Multiple of 98642 and 98652