What is the Greatest Common Factor of 97617 and 97632?

Greatest common factor (GCF) of 97617 and 97632 is 3.

GCF(97617,97632) = 3

We will now calculate the prime factors of 97617 and 97632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97617 and 97632.

How to find the GCF of 97617 and 97632?

We will first find the prime factorization of 97617 and 97632. After we will calculate the factors of 97617 and 97632 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 97632

Prime factors of 97632 are 2, 3, 113. Prime factorization of 97632 in exponential form is:

97632 = 2⁵ × 3³ × 113¹

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 97632

List of positive integer factors of 97632 that divides 97617 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 113, 144, 216, 226, 288, 339, 432, 452, 678, 864, 904, 1017, 1356, 1808, 2034, 2712, 3051, 3616, 4068, 5424, 6102, 8136, 10848, 12204, 16272, 24408, 32544, 48816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97617 and 97632. The biggest common factor number is the GCF number.
So the greatest common factor 97617 and 97632 is 3.

Also check out the Least Common Multiple of 97617 and 97632