What is the Greatest Common Factor of 65120 and 65140?

Greatest common factor (GCF) of 65120 and 65140 is 20.

GCF(65120,65140) = 20

We will now calculate the prime factors of 65120 and 65140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65120 and 65140.

How to find the GCF of 65120 and 65140?

We will first find the prime factorization of 65120 and 65140. After we will calculate the factors of 65120 and 65140 and find the biggest common factor number .

Step-1: Prime Factorization of 65120

Prime factors of 65120 are 2, 5, 11, 37. Prime factorization of 65120 in exponential form is:

65120 = 2⁵ × 5¹ × 11¹ × 37¹

Step-2: 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-3: Factors of 65120

List of positive integer factors of 65120 that divides 65120 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 37, 40, 44, 55, 74, 80, 88, 110, 148, 160, 176, 185, 220, 296, 352, 370, 407, 440, 592, 740, 814, 880, 1184, 1480, 1628, 1760, 2035, 2960, 3256, 4070, 5920, 6512, 8140, 13024, 16280, 32560

Step-4: Factors of 65140

List of positive integer factors of 65140 that divides 65120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65120 and 65140. The biggest common factor number is the GCF number.
So the greatest common factor 65120 and 65140 is 20.

Also check out the Least Common Multiple of 65120 and 65140