What is the Greatest Common Factor of 98690 and 98702?

Greatest common factor (GCF) of 98690 and 98702 is 2.

GCF(98690,98702) = 2

We will now calculate the prime factors of 98690 and 98702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98690 and 98702.

How to find the GCF of 98690 and 98702?

We will first find the prime factorization of 98690 and 98702. After we will calculate the factors of 98690 and 98702 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 98702

Prime factors of 98702 are 2, 17, 2903. Prime factorization of 98702 in exponential form is:

98702 = 2¹ × 17¹ × 2903¹

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 98702

List of positive integer factors of 98702 that divides 98690 without a remainder.

1, 2, 17, 34, 2903, 5806, 49351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98690 and 98702. The biggest common factor number is the GCF number.
So the greatest common factor 98690 and 98702 is 2.

Also check out the Least Common Multiple of 98690 and 98702