What is the Greatest Common Factor of 97672 and 97690?

Greatest common factor (GCF) of 97672 and 97690 is 2.

GCF(97672,97690) = 2

We will now calculate the prime factors of 97672 and 97690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97672 and 97690.

How to find the GCF of 97672 and 97690?

We will first find the prime factorization of 97672 and 97690. After we will calculate the factors of 97672 and 97690 and find the biggest common factor number .

Step-1: Prime Factorization of 97672

Prime factors of 97672 are 2, 29, 421. Prime factorization of 97672 in exponential form is:

97672 = 2³ × 29¹ × 421¹

Step-2: Prime Factorization of 97690

Prime factors of 97690 are 2, 5, 9769. Prime factorization of 97690 in exponential form is:

97690 = 2¹ × 5¹ × 9769¹

Step-3: Factors of 97672

List of positive integer factors of 97672 that divides 97672 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 421, 842, 1684, 3368, 12209, 24418, 48836

Step-4: Factors of 97690

List of positive integer factors of 97690 that divides 97672 without a remainder.

1, 2, 5, 10, 9769, 19538, 48845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97672 and 97690. The biggest common factor number is the GCF number.
So the greatest common factor 97672 and 97690 is 2.

Also check out the Least Common Multiple of 97672 and 97690