What is the Greatest Common Factor of 96980 and 96985?

Greatest common factor (GCF) of 96980 and 96985 is 5.

GCF(96980,96985) = 5

We will now calculate the prime factors of 96980 and 96985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96980 and 96985.

How to find the GCF of 96980 and 96985?

We will first find the prime factorization of 96980 and 96985. After we will calculate the factors of 96980 and 96985 and find the biggest common factor number .

Step-1: Prime Factorization of 96980

Prime factors of 96980 are 2, 5, 13, 373. Prime factorization of 96980 in exponential form is:

96980 = 2² × 5¹ × 13¹ × 373¹

Step-2: 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-3: Factors of 96980

List of positive integer factors of 96980 that divides 96980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 373, 746, 1492, 1865, 3730, 4849, 7460, 9698, 19396, 24245, 48490

Step-4: Factors of 96985

List of positive integer factors of 96985 that divides 96980 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96980 and 96985. The biggest common factor number is the GCF number.
So the greatest common factor 96980 and 96985 is 5.

Also check out the Least Common Multiple of 96980 and 96985