What is the Greatest Common Factor of 52020 and 52032?

Greatest common factor (GCF) of 52020 and 52032 is 12.

GCF(52020,52032) = 12

We will now calculate the prime factors of 52020 and 52032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52020 and 52032.

How to find the GCF of 52020 and 52032?

We will first find the prime factorization of 52020 and 52032. After we will calculate the factors of 52020 and 52032 and find the biggest common factor number .

Step-1: Prime Factorization of 52020

Prime factors of 52020 are 2, 3, 5, 17. Prime factorization of 52020 in exponential form is:

52020 = 2² × 3² × 5¹ × 17²

Step-2: Prime Factorization of 52032

Prime factors of 52032 are 2, 3, 271. Prime factorization of 52032 in exponential form is:

52032 = 2⁶ × 3¹ × 271¹

Step-3: Factors of 52020

List of positive integer factors of 52020 that divides 52020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 289, 306, 340, 510, 578, 612, 765, 867, 1020, 1156, 1445, 1530, 1734, 2601, 2890, 3060, 3468, 4335, 5202, 5780, 8670, 10404, 13005, 17340, 26010

Step-4: Factors of 52032

List of positive integer factors of 52032 that divides 52020 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 271, 542, 813, 1084, 1626, 2168, 3252, 4336, 6504, 8672, 13008, 17344, 26016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52020 and 52032. The biggest common factor number is the GCF number.
So the greatest common factor 52020 and 52032 is 12.

Also check out the Least Common Multiple of 52020 and 52032