What is the Greatest Common Factor of 62346 and 62364?

Greatest common factor (GCF) of 62346 and 62364 is 6.

GCF(62346,62364) = 6

We will now calculate the prime factors of 62346 and 62364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62346 and 62364.

How to find the GCF of 62346 and 62364?

We will first find the prime factorization of 62346 and 62364. After we will calculate the factors of 62346 and 62364 and find the biggest common factor number .

Step-1: Prime Factorization of 62346

Prime factors of 62346 are 2, 3, 10391. Prime factorization of 62346 in exponential form is:

62346 = 2¹ × 3¹ × 10391¹

Step-2: Prime Factorization of 62364

Prime factors of 62364 are 2, 3, 5197. Prime factorization of 62364 in exponential form is:

62364 = 2² × 3¹ × 5197¹

Step-3: Factors of 62346

List of positive integer factors of 62346 that divides 62346 without a remainder.

1, 2, 3, 6, 10391, 20782, 31173

Step-4: Factors of 62364

List of positive integer factors of 62364 that divides 62346 without a remainder.

1, 2, 3, 4, 6, 12, 5197, 10394, 15591, 20788, 31182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62346 and 62364. The biggest common factor number is the GCF number.
So the greatest common factor 62346 and 62364 is 6.

Also check out the Least Common Multiple of 62346 and 62364