What is the Greatest Common Factor of 96985 and 97005?

Greatest common factor (GCF) of 96985 and 97005 is 5.

GCF(96985,97005) = 5

We will now calculate the prime factors of 96985 and 97005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96985 and 97005.

How to find the GCF of 96985 and 97005?

We will first find the prime factorization of 96985 and 97005. After we will calculate the factors of 96985 and 97005 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 97005

Prime factors of 97005 are 3, 5, 29, 223. Prime factorization of 97005 in exponential form is:

97005 = 3¹ × 5¹ × 29¹ × 223¹

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 97005

List of positive integer factors of 97005 that divides 96985 without a remainder.

1, 3, 5, 15, 29, 87, 145, 223, 435, 669, 1115, 3345, 6467, 19401, 32335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96985 and 97005. The biggest common factor number is the GCF number.
So the greatest common factor 96985 and 97005 is 5.

Also check out the Least Common Multiple of 96985 and 97005