What is the Greatest Common Factor of 97626 and 97635?

Greatest common factor (GCF) of 97626 and 97635 is 3.

GCF(97626,97635) = 3

We will now calculate the prime factors of 97626 and 97635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97626 and 97635.

How to find the GCF of 97626 and 97635?

We will first find the prime factorization of 97626 and 97635. After we will calculate the factors of 97626 and 97635 and find the biggest common factor number .

Step-1: Prime Factorization of 97626

Prime factors of 97626 are 2, 3, 53, 307. Prime factorization of 97626 in exponential form is:

97626 = 2¹ × 3¹ × 53¹ × 307¹

Step-2: Prime Factorization of 97635

Prime factors of 97635 are 3, 5, 23, 283. Prime factorization of 97635 in exponential form is:

97635 = 3¹ × 5¹ × 23¹ × 283¹

Step-3: Factors of 97626

List of positive integer factors of 97626 that divides 97626 without a remainder.

1, 2, 3, 6, 53, 106, 159, 307, 318, 614, 921, 1842, 16271, 32542, 48813

Step-4: Factors of 97635

List of positive integer factors of 97635 that divides 97626 without a remainder.

1, 3, 5, 15, 23, 69, 115, 283, 345, 849, 1415, 4245, 6509, 19527, 32545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97626 and 97635. The biggest common factor number is the GCF number.
So the greatest common factor 97626 and 97635 is 3.

Also check out the Least Common Multiple of 97626 and 97635