What is the Greatest Common Factor of 97646 and 97660?

Greatest common factor (GCF) of 97646 and 97660 is 2.

GCF(97646,97660) = 2

We will now calculate the prime factors of 97646 and 97660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97646 and 97660.

How to find the GCF of 97646 and 97660?

We will first find the prime factorization of 97646 and 97660. After we will calculate the factors of 97646 and 97660 and find the biggest common factor number .

Step-1: Prime Factorization of 97646

Prime factors of 97646 are 2, 48823. Prime factorization of 97646 in exponential form is:

97646 = 2¹ × 48823¹

Step-2: Prime Factorization of 97660

Prime factors of 97660 are 2, 5, 19, 257. Prime factorization of 97660 in exponential form is:

97660 = 2² × 5¹ × 19¹ × 257¹

Step-3: Factors of 97646

List of positive integer factors of 97646 that divides 97646 without a remainder.

1, 2, 48823

Step-4: Factors of 97660

List of positive integer factors of 97660 that divides 97646 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 257, 380, 514, 1028, 1285, 2570, 4883, 5140, 9766, 19532, 24415, 48830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97646 and 97660. The biggest common factor number is the GCF number.
So the greatest common factor 97646 and 97660 is 2.

Also check out the Least Common Multiple of 97646 and 97660