What is the Greatest Common Factor of 65140 and 65160?

Greatest common factor (GCF) of 65140 and 65160 is 20.

GCF(65140,65160) = 20

We will now calculate the prime factors of 65140 and 65160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65140 and 65160.

How to find the GCF of 65140 and 65160?

We will first find the prime factorization of 65140 and 65160. After we will calculate the factors of 65140 and 65160 and find the biggest common factor number .

Step-1: Prime Factorization of 65140

Prime factors of 65140 are 2, 5, 3257. Prime factorization of 65140 in exponential form is:

65140 = 2² × 5¹ × 3257¹

Step-2: 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-3: Factors of 65140

List of positive integer factors of 65140 that divides 65140 without a remainder.

1, 2, 4, 5, 10, 20, 3257, 6514, 13028, 16285, 32570

Step-4: Factors of 65160

List of positive integer factors of 65160 that divides 65140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65140 and 65160. The biggest common factor number is the GCF number.
So the greatest common factor 65140 and 65160 is 20.

Also check out the Least Common Multiple of 65140 and 65160