What is the Greatest Common Factor of 96985 and 97002?

Greatest common factor (GCF) of 96985 and 97002 is 17.

GCF(96985,97002) = 17

We will now calculate the prime factors of 96985 and 97002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96985 and 97002.

How to find the GCF of 96985 and 97002?

We will first find the prime factorization of 96985 and 97002. After we will calculate the factors of 96985 and 97002 and find the biggest common factor number .

Step-1: Prime Factorization of 96985

Prime factors of 96985 are 5, 7, 17, 163. Prime factorization of 96985 in exponential form is:

96985 = 5¹ × 7¹ × 17¹ × 163¹

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 96985

List of positive integer factors of 96985 that divides 96985 without a remainder.

1, 5, 7, 17, 35, 85, 119, 163, 595, 815, 1141, 2771, 5705, 13855, 19397

Step-4: Factors of 97002

List of positive integer factors of 97002 that divides 96985 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 96985 and 97002. The biggest common factor number is the GCF number.
So the greatest common factor 96985 and 97002 is 17.

Also check out the Least Common Multiple of 96985 and 97002