What is the Greatest Common Factor of 97648 and 97662?

Greatest common factor (GCF) of 97648 and 97662 is 2.

GCF(97648,97662) = 2

We will now calculate the prime factors of 97648 and 97662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97648 and 97662.

How to find the GCF of 97648 and 97662?

We will first find the prime factorization of 97648 and 97662. After we will calculate the factors of 97648 and 97662 and find the biggest common factor number .

Step-1: Prime Factorization of 97648

Prime factors of 97648 are 2, 17, 359. Prime factorization of 97648 in exponential form is:

97648 = 2⁴ × 17¹ × 359¹

Step-2: Prime Factorization of 97662

Prime factors of 97662 are 2, 3, 41, 397. Prime factorization of 97662 in exponential form is:

97662 = 2¹ × 3¹ × 41¹ × 397¹

Step-3: Factors of 97648

List of positive integer factors of 97648 that divides 97648 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 359, 718, 1436, 2872, 5744, 6103, 12206, 24412, 48824

Step-4: Factors of 97662

List of positive integer factors of 97662 that divides 97648 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 397, 794, 1191, 2382, 16277, 32554, 48831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97648 and 97662. The biggest common factor number is the GCF number.
So the greatest common factor 97648 and 97662 is 2.

Also check out the Least Common Multiple of 97648 and 97662