What is the Greatest Common Factor of 52332 and 52346?

Greatest common factor (GCF) of 52332 and 52346 is 14.

GCF(52332,52346) = 14

We will now calculate the prime factors of 52332 and 52346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52332 and 52346.

How to find the GCF of 52332 and 52346?

We will first find the prime factorization of 52332 and 52346. After we will calculate the factors of 52332 and 52346 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 52346

Prime factors of 52346 are 2, 7, 3739. Prime factorization of 52346 in exponential form is:

52346 = 2¹ × 7¹ × 3739¹

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 52346

List of positive integer factors of 52346 that divides 52332 without a remainder.

1, 2, 7, 14, 3739, 7478, 26173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52332 and 52346. The biggest common factor number is the GCF number.
So the greatest common factor 52332 and 52346 is 14.

Also check out the Least Common Multiple of 52332 and 52346