What is the Greatest Common Factor of 97684 and 97702?

Greatest common factor (GCF) of 97684 and 97702 is 2.

GCF(97684,97702) = 2

We will now calculate the prime factors of 97684 and 97702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97684 and 97702.

How to find the GCF of 97684 and 97702?

We will first find the prime factorization of 97684 and 97702. After we will calculate the factors of 97684 and 97702 and find the biggest common factor number .

Step-1: Prime Factorization of 97684

Prime factors of 97684 are 2, 24421. Prime factorization of 97684 in exponential form is:

97684 = 2² × 24421¹

Step-2: Prime Factorization of 97702

Prime factors of 97702 are 2, 11, 4441. Prime factorization of 97702 in exponential form is:

97702 = 2¹ × 11¹ × 4441¹

Step-3: Factors of 97684

List of positive integer factors of 97684 that divides 97684 without a remainder.

1, 2, 4, 24421, 48842

Step-4: Factors of 97702

List of positive integer factors of 97702 that divides 97684 without a remainder.

1, 2, 11, 22, 4441, 8882, 48851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97684 and 97702. The biggest common factor number is the GCF number.
So the greatest common factor 97684 and 97702 is 2.

Also check out the Least Common Multiple of 97684 and 97702