What is the Greatest Common Factor of 62352 and 62364?

Greatest common factor (GCF) of 62352 and 62364 is 12.

GCF(62352,62364) = 12

We will now calculate the prime factors of 62352 and 62364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62352 and 62364.

How to find the GCF of 62352 and 62364?

We will first find the prime factorization of 62352 and 62364. After we will calculate the factors of 62352 and 62364 and find the biggest common factor number .

Step-1: Prime Factorization of 62352

Prime factors of 62352 are 2, 3, 433. Prime factorization of 62352 in exponential form is:

62352 = 2⁴ × 3² × 433¹

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 62352

List of positive integer factors of 62352 that divides 62352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 433, 866, 1299, 1732, 2598, 3464, 3897, 5196, 6928, 7794, 10392, 15588, 20784, 31176

Step-4: Factors of 62364

List of positive integer factors of 62364 that divides 62352 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 62352 and 62364. The biggest common factor number is the GCF number.
So the greatest common factor 62352 and 62364 is 12.

Also check out the Least Common Multiple of 62352 and 62364