What is the Greatest Common Factor of 97658 and 97678?

Greatest common factor (GCF) of 97658 and 97678 is 2.

GCF(97658,97678) = 2

We will now calculate the prime factors of 97658 and 97678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97658 and 97678.

How to find the GCF of 97658 and 97678?

We will first find the prime factorization of 97658 and 97678. After we will calculate the factors of 97658 and 97678 and find the biggest common factor number .

Step-1: Prime Factorization of 97658

Prime factors of 97658 are 2, 11, 23, 193. Prime factorization of 97658 in exponential form is:

97658 = 2¹ × 11¹ × 23¹ × 193¹

Step-2: 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-3: Factors of 97658

List of positive integer factors of 97658 that divides 97658 without a remainder.

1, 2, 11, 22, 23, 46, 193, 253, 386, 506, 2123, 4246, 4439, 8878, 48829

Step-4: Factors of 97678

List of positive integer factors of 97678 that divides 97658 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97658 and 97678. The biggest common factor number is the GCF number.
So the greatest common factor 97658 and 97678 is 2.

Also check out the Least Common Multiple of 97658 and 97678