What is the Greatest Common Factor of 97678 and 97684?

Greatest common factor (GCF) of 97678 and 97684 is 2.

GCF(97678,97684) = 2

We will now calculate the prime factors of 97678 and 97684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97678 and 97684.

How to find the GCF of 97678 and 97684?

We will first find the prime factorization of 97678 and 97684. After we will calculate the factors of 97678 and 97684 and find the biggest common factor number .

Step-1: Prime Factorization of 97678

Prime factors of 97678 are 2, 7, 6977. Prime factorization of 97678 in exponential form is:

97678 = 2¹ × 7¹ × 6977¹

Step-2: Prime Factorization of 97684

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

97684 = 2² × 24421¹

Step-3: Factors of 97678

List of positive integer factors of 97678 that divides 97678 without a remainder.

1, 2, 7, 14, 6977, 13954, 48839

Step-4: Factors of 97684

List of positive integer factors of 97684 that divides 97678 without a remainder.

1, 2, 4, 24421, 48842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97678 and 97684. The biggest common factor number is the GCF number.
So the greatest common factor 97678 and 97684 is 2.

Also check out the Least Common Multiple of 97678 and 97684