What is the Greatest Common Factor of 97626 and 97633?

Greatest common factor (GCF) of 97626 and 97633 is 1.

GCF(97626,97633) = 1

We will now calculate the prime factors of 97626 and 97633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97626 and 97633.

How to find the GCF of 97626 and 97633?

We will first find the prime factorization of 97626 and 97633. After we will calculate the factors of 97626 and 97633 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 97633

Prime factors of 97633 are 89, 1097. Prime factorization of 97633 in exponential form is:

97633 = 89¹ × 1097¹

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 97633

List of positive integer factors of 97633 that divides 97626 without a remainder.

1, 89, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97626 and 97633. The biggest common factor number is the GCF number.
So the greatest common factor 97626 and 97633 is 1.

Also check out the Least Common Multiple of 97626 and 97633