What is the Greatest Common Factor of 62340 and 62352?

Greatest common factor (GCF) of 62340 and 62352 is 12.

GCF(62340,62352) = 12

We will now calculate the prime factors of 62340 and 62352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62340 and 62352.

How to find the GCF of 62340 and 62352?

We will first find the prime factorization of 62340 and 62352. After we will calculate the factors of 62340 and 62352 and find the biggest common factor number .

Step-1: Prime Factorization of 62340

Prime factors of 62340 are 2, 3, 5, 1039. Prime factorization of 62340 in exponential form is:

62340 = 2² × 3¹ × 5¹ × 1039¹

Step-2: 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-3: Factors of 62340

List of positive integer factors of 62340 that divides 62340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1039, 2078, 3117, 4156, 5195, 6234, 10390, 12468, 15585, 20780, 31170

Step-4: Factors of 62352

List of positive integer factors of 62352 that divides 62340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62340 and 62352. The biggest common factor number is the GCF number.
So the greatest common factor 62340 and 62352 is 12.

Also check out the Least Common Multiple of 62340 and 62352