What is the Greatest Common Factor of 68698 and 68702?

Greatest common factor (GCF) of 68698 and 68702 is 2.

GCF(68698,68702) = 2

We will now calculate the prime factors of 68698 and 68702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68698 and 68702.

How to find the GCF of 68698 and 68702?

We will first find the prime factorization of 68698 and 68702. After we will calculate the factors of 68698 and 68702 and find the biggest common factor number .

Step-1: Prime Factorization of 68698

Prime factors of 68698 are 2, 7, 701. Prime factorization of 68698 in exponential form is:

68698 = 2¹ × 7² × 701¹

Step-2: Prime Factorization of 68702

Prime factors of 68702 are 2, 34351. Prime factorization of 68702 in exponential form is:

68702 = 2¹ × 34351¹

Step-3: Factors of 68698

List of positive integer factors of 68698 that divides 68698 without a remainder.

1, 2, 7, 14, 49, 98, 701, 1402, 4907, 9814, 34349

Step-4: Factors of 68702

List of positive integer factors of 68702 that divides 68698 without a remainder.

1, 2, 34351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68698 and 68702. The biggest common factor number is the GCF number.
So the greatest common factor 68698 and 68702 is 2.

Also check out the Least Common Multiple of 68698 and 68702