What is the Greatest Common Factor of 62344 and 62352?

Greatest common factor (GCF) of 62344 and 62352 is 8.

GCF(62344,62352) = 8

We will now calculate the prime factors of 62344 and 62352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62344 and 62352.

How to find the GCF of 62344 and 62352?

We will first find the prime factorization of 62344 and 62352. After we will calculate the factors of 62344 and 62352 and find the biggest common factor number .

Step-1: Prime Factorization of 62344

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

62344 = 2³ × 7793¹

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 62344

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

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

Step-4: Factors of 62352

List of positive integer factors of 62352 that divides 62344 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 62344 and 62352. The biggest common factor number is the GCF number.
So the greatest common factor 62344 and 62352 is 8.

Also check out the Least Common Multiple of 62344 and 62352