What is the Greatest Common Factor of 97008 and 97016?

Greatest common factor (GCF) of 97008 and 97016 is 8.

GCF(97008,97016) = 8

We will now calculate the prime factors of 97008 and 97016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97008 and 97016.

How to find the GCF of 97008 and 97016?

We will first find the prime factorization of 97008 and 97016. After we will calculate the factors of 97008 and 97016 and find the biggest common factor number .

Step-1: Prime Factorization of 97008

Prime factors of 97008 are 2, 3, 43, 47. Prime factorization of 97008 in exponential form is:

97008 = 2⁴ × 3¹ × 43¹ × 47¹

Step-2: Prime Factorization of 97016

Prime factors of 97016 are 2, 67, 181. Prime factorization of 97016 in exponential form is:

97016 = 2³ × 67¹ × 181¹

Step-3: Factors of 97008

List of positive integer factors of 97008 that divides 97008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 47, 48, 86, 94, 129, 141, 172, 188, 258, 282, 344, 376, 516, 564, 688, 752, 1032, 1128, 2021, 2064, 2256, 4042, 6063, 8084, 12126, 16168, 24252, 32336, 48504

Step-4: Factors of 97016

List of positive integer factors of 97016 that divides 97008 without a remainder.

1, 2, 4, 8, 67, 134, 181, 268, 362, 536, 724, 1448, 12127, 24254, 48508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97008 and 97016. The biggest common factor number is the GCF number.
So the greatest common factor 97008 and 97016 is 8.

Also check out the Least Common Multiple of 97008 and 97016