What is the Greatest Common Factor of 52820 and 52832?

Greatest common factor (GCF) of 52820 and 52832 is 4.

GCF(52820,52832) = 4

We will now calculate the prime factors of 52820 and 52832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52820 and 52832.

How to find the GCF of 52820 and 52832?

We will first find the prime factorization of 52820 and 52832. After we will calculate the factors of 52820 and 52832 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 52832

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

52832 = 2⁵ × 13¹ × 127¹

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 52832

List of positive integer factors of 52832 that divides 52820 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52820 and 52832. The biggest common factor number is the GCF number.
So the greatest common factor 52820 and 52832 is 4.

Also check out the Least Common Multiple of 52820 and 52832