What is the Greatest Common Factor of 52636 and 52640?

Greatest common factor (GCF) of 52636 and 52640 is 4.

GCF(52636,52640) = 4

We will now calculate the prime factors of 52636 and 52640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52636 and 52640.

How to find the GCF of 52636 and 52640?

We will first find the prime factorization of 52636 and 52640. After we will calculate the factors of 52636 and 52640 and find the biggest common factor number .

Step-1: Prime Factorization of 52636

Prime factors of 52636 are 2, 13159. Prime factorization of 52636 in exponential form is:

52636 = 2² × 13159¹

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 52636

List of positive integer factors of 52636 that divides 52636 without a remainder.

1, 2, 4, 13159, 26318

Step-4: Factors of 52640

List of positive integer factors of 52640 that divides 52636 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 52636 and 52640. The biggest common factor number is the GCF number.
So the greatest common factor 52636 and 52640 is 4.

Also check out the Least Common Multiple of 52636 and 52640