What is the Greatest Common Factor of 52820 and 52836?

Greatest common factor (GCF) of 52820 and 52836 is 4.

GCF(52820,52836) = 4

We will now calculate the prime factors of 52820 and 52836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52820 and 52836.

How to find the GCF of 52820 and 52836?

We will first find the prime factorization of 52820 and 52836. After we will calculate the factors of 52820 and 52836 and find the biggest common factor number .

Step-1: Prime Factorization of 52820

Prime factors of 52820 are 2, 5, 19, 139. Prime factorization of 52820 in exponential form is:

52820 = 2² × 5¹ × 19¹ × 139¹

Step-2: Prime Factorization of 52836

Prime factors of 52836 are 2, 3, 7, 17, 37. Prime factorization of 52836 in exponential form is:

52836 = 2² × 3¹ × 7¹ × 17¹ × 37¹

Step-3: Factors of 52820

List of positive integer factors of 52820 that divides 52820 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 139, 190, 278, 380, 556, 695, 1390, 2641, 2780, 5282, 10564, 13205, 26410

Step-4: Factors of 52836

List of positive integer factors of 52836 that divides 52820 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 37, 42, 51, 68, 74, 84, 102, 111, 119, 148, 204, 222, 238, 259, 357, 444, 476, 518, 629, 714, 777, 1036, 1258, 1428, 1554, 1887, 2516, 3108, 3774, 4403, 7548, 8806, 13209, 17612, 26418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52820 and 52836. The biggest common factor number is the GCF number.
So the greatest common factor 52820 and 52836 is 4.

Also check out the Least Common Multiple of 52820 and 52836