What is the Greatest Common Factor of 65170 and 65189?

Greatest common factor (GCF) of 65170 and 65189 is 19.

GCF(65170,65189) = 19

We will now calculate the prime factors of 65170 and 65189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65170 and 65189.

How to find the GCF of 65170 and 65189?

We will first find the prime factorization of 65170 and 65189. After we will calculate the factors of 65170 and 65189 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 65189

Prime factors of 65189 are 19, 47, 73. Prime factorization of 65189 in exponential form is:

65189 = 19¹ × 47¹ × 73¹

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 65189

List of positive integer factors of 65189 that divides 65170 without a remainder.

1, 19, 47, 73, 893, 1387, 3431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65170 and 65189. The biggest common factor number is the GCF number.
So the greatest common factor 65170 and 65189 is 19.

Also check out the Least Common Multiple of 65170 and 65189