What is the Greatest Common Factor of 97617 and 97630?

Greatest common factor (GCF) of 97617 and 97630 is 13.

GCF(97617,97630) = 13

We will now calculate the prime factors of 97617 and 97630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97617 and 97630.

How to find the GCF of 97617 and 97630?

We will first find the prime factorization of 97617 and 97630. After we will calculate the factors of 97617 and 97630 and find the biggest common factor number .

Step-1: Prime Factorization of 97617

Prime factors of 97617 are 3, 13, 2503. Prime factorization of 97617 in exponential form is:

97617 = 3¹ × 13¹ × 2503¹

Step-2: Prime Factorization of 97630

Prime factors of 97630 are 2, 5, 13, 751. Prime factorization of 97630 in exponential form is:

97630 = 2¹ × 5¹ × 13¹ × 751¹

Step-3: Factors of 97617

List of positive integer factors of 97617 that divides 97617 without a remainder.

1, 3, 13, 39, 2503, 7509, 32539

Step-4: Factors of 97630

List of positive integer factors of 97630 that divides 97617 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 751, 1502, 3755, 7510, 9763, 19526, 48815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97617 and 97630. The biggest common factor number is the GCF number.
So the greatest common factor 97617 and 97630 is 13.

Also check out the Least Common Multiple of 97617 and 97630