What is the Greatest Common Factor of 65170 and 65180?

Greatest common factor (GCF) of 65170 and 65180 is 10.

GCF(65170,65180) = 10

We will now calculate the prime factors of 65170 and 65180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65170 and 65180.

How to find the GCF of 65170 and 65180?

We will first find the prime factorization of 65170 and 65180. After we will calculate the factors of 65170 and 65180 and find the biggest common factor number .

Step-1: Prime Factorization of 65170

Prime factors of 65170 are 2, 5, 7, 19. Prime factorization of 65170 in exponential form is:

65170 = 2¹ × 5¹ × 7³ × 19¹

Step-2: Prime Factorization of 65180

Prime factors of 65180 are 2, 5, 3259. Prime factorization of 65180 in exponential form is:

65180 = 2² × 5¹ × 3259¹

Step-3: Factors of 65170

List of positive integer factors of 65170 that divides 65170 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 343, 490, 665, 686, 931, 1330, 1715, 1862, 3430, 4655, 6517, 9310, 13034, 32585

Step-4: Factors of 65180

List of positive integer factors of 65180 that divides 65170 without a remainder.

1, 2, 4, 5, 10, 20, 3259, 6518, 13036, 16295, 32590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65170 and 65180. The biggest common factor number is the GCF number.
So the greatest common factor 65170 and 65180 is 10.

Also check out the Least Common Multiple of 65170 and 65180