What is the Greatest Common Factor of 97632 and 97648?

Greatest common factor (GCF) of 97632 and 97648 is 16.

GCF(97632,97648) = 16

We will now calculate the prime factors of 97632 and 97648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97632 and 97648.

How to find the GCF of 97632 and 97648?

We will first find the prime factorization of 97632 and 97648. After we will calculate the factors of 97632 and 97648 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 97632

List of positive integer factors of 97632 that divides 97632 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

Step-4: Factors of 97648

List of positive integer factors of 97648 that divides 97632 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97632 and 97648. The biggest common factor number is the GCF number.
So the greatest common factor 97632 and 97648 is 16.

Also check out the Least Common Multiple of 97632 and 97648