What is the Greatest Common Factor of 62340 and 62344?

Greatest common factor (GCF) of 62340 and 62344 is 4.

GCF(62340,62344) = 4

We will now calculate the prime factors of 62340 and 62344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62340 and 62344.

How to find the GCF of 62340 and 62344?

We will first find the prime factorization of 62340 and 62344. After we will calculate the factors of 62340 and 62344 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 62344

Prime factors of 62344 are 2, 7793. Prime factorization of 62344 in exponential form is:

62344 = 2³ × 7793¹

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 62344

List of positive integer factors of 62344 that divides 62340 without a remainder.

1, 2, 4, 8, 7793, 15586, 31172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62340 and 62344. The biggest common factor number is the GCF number.
So the greatest common factor 62340 and 62344 is 4.

Also check out the Least Common Multiple of 62340 and 62344