What is the Greatest Common Factor of 51569 and 51584?

Greatest common factor (GCF) of 51569 and 51584 is 1.

GCF(51569,51584) = 1

We will now calculate the prime factors of 51569 and 51584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51569 and 51584.

How to find the GCF of 51569 and 51584?

We will first find the prime factorization of 51569 and 51584. After we will calculate the factors of 51569 and 51584 and find the biggest common factor number .

Step-1: Prime Factorization of 51569

Prime factors of 51569 are 7, 53, 139. Prime factorization of 51569 in exponential form is:

51569 = 7¹ × 53¹ × 139¹

Step-2: Prime Factorization of 51584

Prime factors of 51584 are 2, 13, 31. Prime factorization of 51584 in exponential form is:

51584 = 2⁷ × 13¹ × 31¹

Step-3: Factors of 51569

List of positive integer factors of 51569 that divides 51569 without a remainder.

1, 7, 53, 139, 371, 973, 7367

Step-4: Factors of 51584

List of positive integer factors of 51584 that divides 51569 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 64, 104, 124, 128, 208, 248, 403, 416, 496, 806, 832, 992, 1612, 1664, 1984, 3224, 3968, 6448, 12896, 25792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51569 and 51584. The biggest common factor number is the GCF number.
So the greatest common factor 51569 and 51584 is 1.

Also check out the Least Common Multiple of 51569 and 51584