What is the Greatest Common Factor of 98630 and 98642?

Greatest common factor (GCF) of 98630 and 98642 is 2.

GCF(98630,98642) = 2

We will now calculate the prime factors of 98630 and 98642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98630 and 98642.

How to find the GCF of 98630 and 98642?

We will first find the prime factorization of 98630 and 98642. After we will calculate the factors of 98630 and 98642 and find the biggest common factor number .

Step-1: Prime Factorization of 98630

Prime factors of 98630 are 2, 5, 7, 1409. Prime factorization of 98630 in exponential form is:

98630 = 2¹ × 5¹ × 7¹ × 1409¹

Step-2: 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-3: Factors of 98630

List of positive integer factors of 98630 that divides 98630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1409, 2818, 7045, 9863, 14090, 19726, 49315

Step-4: Factors of 98642

List of positive integer factors of 98642 that divides 98630 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98630 and 98642. The biggest common factor number is the GCF number.
So the greatest common factor 98630 and 98642 is 2.

Also check out the Least Common Multiple of 98630 and 98642