What is the Greatest Common Factor of 97644 and 97662?

Greatest common factor (GCF) of 97644 and 97662 is 6.

GCF(97644,97662) = 6

We will now calculate the prime factors of 97644 and 97662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97644 and 97662.

How to find the GCF of 97644 and 97662?

We will first find the prime factorization of 97644 and 97662. After we will calculate the factors of 97644 and 97662 and find the biggest common factor number .

Step-1: Prime Factorization of 97644

Prime factors of 97644 are 2, 3, 79, 103. Prime factorization of 97644 in exponential form is:

97644 = 2² × 3¹ × 79¹ × 103¹

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 97644

List of positive integer factors of 97644 that divides 97644 without a remainder.

1, 2, 3, 4, 6, 12, 79, 103, 158, 206, 237, 309, 316, 412, 474, 618, 948, 1236, 8137, 16274, 24411, 32548, 48822

Step-4: Factors of 97662

List of positive integer factors of 97662 that divides 97644 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 97644 and 97662. The biggest common factor number is the GCF number.
So the greatest common factor 97644 and 97662 is 6.

Also check out the Least Common Multiple of 97644 and 97662