What is the Greatest Common Factor of 52332 and 52350?

Greatest common factor (GCF) of 52332 and 52350 is 6.

GCF(52332,52350) = 6

We will now calculate the prime factors of 52332 and 52350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52332 and 52350.

How to find the GCF of 52332 and 52350?

We will first find the prime factorization of 52332 and 52350. After we will calculate the factors of 52332 and 52350 and find the biggest common factor number .

Step-1: Prime Factorization of 52332

Prime factors of 52332 are 2, 3, 7, 89. Prime factorization of 52332 in exponential form is:

52332 = 2² × 3¹ × 7² × 89¹

Step-2: Prime Factorization of 52350

Prime factors of 52350 are 2, 3, 5, 349. Prime factorization of 52350 in exponential form is:

52350 = 2¹ × 3¹ × 5² × 349¹

Step-3: Factors of 52332

List of positive integer factors of 52332 that divides 52332 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 89, 98, 147, 178, 196, 267, 294, 356, 534, 588, 623, 1068, 1246, 1869, 2492, 3738, 4361, 7476, 8722, 13083, 17444, 26166

Step-4: Factors of 52350

List of positive integer factors of 52350 that divides 52332 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 349, 698, 1047, 1745, 2094, 3490, 5235, 8725, 10470, 17450, 26175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52332 and 52350. The biggest common factor number is the GCF number.
So the greatest common factor 52332 and 52350 is 6.

Also check out the Least Common Multiple of 52332 and 52350