What is the Greatest Common Factor of 52623 and 52640?

Greatest common factor (GCF) of 52623 and 52640 is 1.

GCF(52623,52640) = 1

We will now calculate the prime factors of 52623 and 52640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52623 and 52640.

How to find the GCF of 52623 and 52640?

We will first find the prime factorization of 52623 and 52640. After we will calculate the factors of 52623 and 52640 and find the biggest common factor number .

Step-1: Prime Factorization of 52623

Prime factors of 52623 are 3, 1949. Prime factorization of 52623 in exponential form is:

52623 = 3³ × 1949¹

Step-2: Prime Factorization of 52640

Prime factors of 52640 are 2, 5, 7, 47. Prime factorization of 52640 in exponential form is:

52640 = 2⁵ × 5¹ × 7¹ × 47¹

Step-3: Factors of 52623

List of positive integer factors of 52623 that divides 52623 without a remainder.

1, 3, 9, 27, 1949, 5847, 17541

Step-4: Factors of 52640

List of positive integer factors of 52640 that divides 52623 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 47, 56, 70, 80, 94, 112, 140, 160, 188, 224, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1120, 1316, 1504, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 7520, 10528, 13160, 26320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52623 and 52640. The biggest common factor number is the GCF number.
So the greatest common factor 52623 and 52640 is 1.

Also check out the Least Common Multiple of 52623 and 52640