What is the Greatest Common Factor of 96984 and 97002?

Greatest common factor (GCF) of 96984 and 97002 is 18.

GCF(96984,97002) = 18

We will now calculate the prime factors of 96984 and 97002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96984 and 97002.

How to find the GCF of 96984 and 97002?

We will first find the prime factorization of 96984 and 97002. After we will calculate the factors of 96984 and 97002 and find the biggest common factor number .

Step-1: Prime Factorization of 96984

Prime factors of 96984 are 2, 3, 449. Prime factorization of 96984 in exponential form is:

96984 = 2³ × 3³ × 449¹

Step-2: Prime Factorization of 97002

Prime factors of 97002 are 2, 3, 17, 317. Prime factorization of 97002 in exponential form is:

97002 = 2¹ × 3² × 17¹ × 317¹

Step-3: Factors of 96984

List of positive integer factors of 96984 that divides 96984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 449, 898, 1347, 1796, 2694, 3592, 4041, 5388, 8082, 10776, 12123, 16164, 24246, 32328, 48492

Step-4: Factors of 97002

List of positive integer factors of 97002 that divides 96984 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306, 317, 634, 951, 1902, 2853, 5389, 5706, 10778, 16167, 32334, 48501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96984 and 97002. The biggest common factor number is the GCF number.
So the greatest common factor 96984 and 97002 is 18.

Also check out the Least Common Multiple of 96984 and 97002