What is the Greatest Common Factor of 84650 and 84665?

Greatest common factor (GCF) of 84650 and 84665 is 5.

GCF(84650,84665) = 5

We will now calculate the prime factors of 84650 and 84665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84650 and 84665.

How to find the GCF of 84650 and 84665?

We will first find the prime factorization of 84650 and 84665. After we will calculate the factors of 84650 and 84665 and find the biggest common factor number .

Step-1: Prime Factorization of 84650

Prime factors of 84650 are 2, 5, 1693. Prime factorization of 84650 in exponential form is:

84650 = 2¹ × 5² × 1693¹

Step-2: Prime Factorization of 84665

Prime factors of 84665 are 5, 7, 41, 59. Prime factorization of 84665 in exponential form is:

84665 = 5¹ × 7¹ × 41¹ × 59¹

Step-3: Factors of 84650

List of positive integer factors of 84650 that divides 84650 without a remainder.

1, 2, 5, 10, 25, 50, 1693, 3386, 8465, 16930, 42325

Step-4: Factors of 84665

List of positive integer factors of 84665 that divides 84650 without a remainder.

1, 5, 7, 35, 41, 59, 205, 287, 295, 413, 1435, 2065, 2419, 12095, 16933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84650 and 84665. The biggest common factor number is the GCF number.
So the greatest common factor 84650 and 84665 is 5.

Also check out the Least Common Multiple of 84650 and 84665