What is the Greatest Common Factor of 52832 and 52845?

Greatest common factor (GCF) of 52832 and 52845 is 13.

GCF(52832,52845) = 13

We will now calculate the prime factors of 52832 and 52845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52832 and 52845.

How to find the GCF of 52832 and 52845?

We will first find the prime factorization of 52832 and 52845. After we will calculate the factors of 52832 and 52845 and find the biggest common factor number .

Step-1: Prime Factorization of 52832

Prime factors of 52832 are 2, 13, 127. Prime factorization of 52832 in exponential form is:

52832 = 2⁵ × 13¹ × 127¹

Step-2: Prime Factorization of 52845

Prime factors of 52845 are 3, 5, 13, 271. Prime factorization of 52845 in exponential form is:

52845 = 3¹ × 5¹ × 13¹ × 271¹

Step-3: Factors of 52832

List of positive integer factors of 52832 that divides 52832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 127, 208, 254, 416, 508, 1016, 1651, 2032, 3302, 4064, 6604, 13208, 26416

Step-4: Factors of 52845

List of positive integer factors of 52845 that divides 52832 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 271, 813, 1355, 3523, 4065, 10569, 17615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52832 and 52845. The biggest common factor number is the GCF number.
So the greatest common factor 52832 and 52845 is 13.

Also check out the Least Common Multiple of 52832 and 52845