What is the Greatest Common Factor of 52032 and 52050?

Greatest common factor (GCF) of 52032 and 52050 is 6.

GCF(52032,52050) = 6

We will now calculate the prime factors of 52032 and 52050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52032 and 52050.

How to find the GCF of 52032 and 52050?

We will first find the prime factorization of 52032 and 52050. After we will calculate the factors of 52032 and 52050 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52050

Prime factors of 52050 are 2, 3, 5, 347. Prime factorization of 52050 in exponential form is:

52050 = 2¹ × 3¹ × 5² × 347¹

Step-3: Factors of 52032

List of positive integer factors of 52032 that divides 52032 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

Step-4: Factors of 52050

List of positive integer factors of 52050 that divides 52032 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 347, 694, 1041, 1735, 2082, 3470, 5205, 8675, 10410, 17350, 26025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52032 and 52050. The biggest common factor number is the GCF number.
So the greatest common factor 52032 and 52050 is 6.

Also check out the Least Common Multiple of 52032 and 52050