What is the Greatest Common Factor of 65160 and 65172?

Greatest common factor (GCF) of 65160 and 65172 is 12.

GCF(65160,65172) = 12

We will now calculate the prime factors of 65160 and 65172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65160 and 65172.

How to find the GCF of 65160 and 65172?

We will first find the prime factorization of 65160 and 65172. After we will calculate the factors of 65160 and 65172 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 65172

Prime factors of 65172 are 2, 3, 5431. Prime factorization of 65172 in exponential form is:

65172 = 2² × 3¹ × 5431¹

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 65172

List of positive integer factors of 65172 that divides 65160 without a remainder.

1, 2, 3, 4, 6, 12, 5431, 10862, 16293, 21724, 32586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65160 and 65172. The biggest common factor number is the GCF number.
So the greatest common factor 65160 and 65172 is 12.

Also check out the Least Common Multiple of 65160 and 65172