What is the Greatest Common Factor of 97648 and 97666?

Greatest common factor (GCF) of 97648 and 97666 is 2.

GCF(97648,97666) = 2

We will now calculate the prime factors of 97648 and 97666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97648 and 97666.

How to find the GCF of 97648 and 97666?

We will first find the prime factorization of 97648 and 97666. After we will calculate the factors of 97648 and 97666 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 97666

Prime factors of 97666 are 2, 47, 1039. Prime factorization of 97666 in exponential form is:

97666 = 2¹ × 47¹ × 1039¹

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 97666

List of positive integer factors of 97666 that divides 97648 without a remainder.

1, 2, 47, 94, 1039, 2078, 48833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97648 and 97666. The biggest common factor number is the GCF number.
So the greatest common factor 97648 and 97666 is 2.

Also check out the Least Common Multiple of 97648 and 97666