What is the Greatest Common Factor of 65120 and 65126?

Greatest common factor (GCF) of 65120 and 65126 is 2.

GCF(65120,65126) = 2

We will now calculate the prime factors of 65120 and 65126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65120 and 65126.

How to find the GCF of 65120 and 65126?

We will first find the prime factorization of 65120 and 65126. After we will calculate the factors of 65120 and 65126 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 65126

Prime factors of 65126 are 2, 32563. Prime factorization of 65126 in exponential form is:

65126 = 2¹ × 32563¹

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 65126

List of positive integer factors of 65126 that divides 65120 without a remainder.

1, 2, 32563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65120 and 65126. The biggest common factor number is the GCF number.
So the greatest common factor 65120 and 65126 is 2.

Also check out the Least Common Multiple of 65120 and 65126