What is the Greatest Common Factor of 65170 and 65177?

Greatest common factor (GCF) of 65170 and 65177 is 7.

GCF(65170,65177) = 7

We will now calculate the prime factors of 65170 and 65177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65170 and 65177.

How to find the GCF of 65170 and 65177?

We will first find the prime factorization of 65170 and 65177. After we will calculate the factors of 65170 and 65177 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 65177

Prime factors of 65177 are 7, 9311. Prime factorization of 65177 in exponential form is:

65177 = 7¹ × 9311¹

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 65177

List of positive integer factors of 65177 that divides 65170 without a remainder.

1, 7, 9311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65170 and 65177. The biggest common factor number is the GCF number.
So the greatest common factor 65170 and 65177 is 7.

Also check out the Least Common Multiple of 65170 and 65177