What is the Greatest Common Factor of 65160 and 65170?

Greatest common factor (GCF) of 65160 and 65170 is 10.

GCF(65160,65170) = 10

We will now calculate the prime factors of 65160 and 65170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65160 and 65170.

How to find the GCF of 65160 and 65170?

We will first find the prime factorization of 65160 and 65170. After we will calculate the factors of 65160 and 65170 and find the biggest common factor number .

Step-1: Prime Factorization of 65160

Prime factors of 65160 are 2, 3, 5, 181. Prime factorization of 65160 in exponential form is:

65160 = 2³ × 3² × 5¹ × 181¹

Step-2: 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-3: Factors of 65160

List of positive integer factors of 65160 that divides 65160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 181, 360, 362, 543, 724, 905, 1086, 1448, 1629, 1810, 2172, 2715, 3258, 3620, 4344, 5430, 6516, 7240, 8145, 10860, 13032, 16290, 21720, 32580

Step-4: Factors of 65170

List of positive integer factors of 65170 that divides 65160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65160 and 65170. The biggest common factor number is the GCF number.
So the greatest common factor 65160 and 65170 is 10.

Also check out the Least Common Multiple of 65160 and 65170