What is the Greatest Common Factor of 52461 and 52480?

Greatest common factor (GCF) of 52461 and 52480 is 1.

GCF(52461,52480) = 1

We will now calculate the prime factors of 52461 and 52480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52461 and 52480.

How to find the GCF of 52461 and 52480?

We will first find the prime factorization of 52461 and 52480. After we will calculate the factors of 52461 and 52480 and find the biggest common factor number .

Step-1: Prime Factorization of 52461

Prime factors of 52461 are 3, 29, 67. Prime factorization of 52461 in exponential form is:

52461 = 3³ × 29¹ × 67¹

Step-2: Prime Factorization of 52480

Prime factors of 52480 are 2, 5, 41. Prime factorization of 52480 in exponential form is:

52480 = 2⁸ × 5¹ × 41¹

Step-3: Factors of 52461

List of positive integer factors of 52461 that divides 52461 without a remainder.

1, 3, 9, 27, 29, 67, 87, 201, 261, 603, 783, 1809, 1943, 5829, 17487

Step-4: Factors of 52480

List of positive integer factors of 52480 that divides 52461 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 128, 160, 164, 205, 256, 320, 328, 410, 640, 656, 820, 1280, 1312, 1640, 2624, 3280, 5248, 6560, 10496, 13120, 26240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52461 and 52480. The biggest common factor number is the GCF number.
So the greatest common factor 52461 and 52480 is 1.

Also check out the Least Common Multiple of 52461 and 52480