What is the Greatest Common Factor of 98690 and 98706?

Greatest common factor (GCF) of 98690 and 98706 is 2.

GCF(98690,98706) = 2

We will now calculate the prime factors of 98690 and 98706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98690 and 98706.

How to find the GCF of 98690 and 98706?

We will first find the prime factorization of 98690 and 98706. After we will calculate the factors of 98690 and 98706 and find the biggest common factor number .

Step-1: Prime Factorization of 98690

Prime factors of 98690 are 2, 5, 71, 139. Prime factorization of 98690 in exponential form is:

98690 = 2¹ × 5¹ × 71¹ × 139¹

Step-2: Prime Factorization of 98706

Prime factors of 98706 are 2, 3, 16451. Prime factorization of 98706 in exponential form is:

98706 = 2¹ × 3¹ × 16451¹

Step-3: Factors of 98690

List of positive integer factors of 98690 that divides 98690 without a remainder.

1, 2, 5, 10, 71, 139, 142, 278, 355, 695, 710, 1390, 9869, 19738, 49345

Step-4: Factors of 98706

List of positive integer factors of 98706 that divides 98690 without a remainder.

1, 2, 3, 6, 16451, 32902, 49353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98690 and 98706. The biggest common factor number is the GCF number.
So the greatest common factor 98690 and 98706 is 2.

Also check out the Least Common Multiple of 98690 and 98706