What is the Greatest Common Factor of 62384 and 62404?

Greatest common factor (GCF) of 62384 and 62404 is 4.

GCF(62384,62404) = 4

We will now calculate the prime factors of 62384 and 62404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62384 and 62404.

How to find the GCF of 62384 and 62404?

We will first find the prime factorization of 62384 and 62404. After we will calculate the factors of 62384 and 62404 and find the biggest common factor number .

Step-1: Prime Factorization of 62384

Prime factors of 62384 are 2, 7, 557. Prime factorization of 62384 in exponential form is:

62384 = 2⁴ × 7¹ × 557¹

Step-2: Prime Factorization of 62404

Prime factors of 62404 are 2, 15601. Prime factorization of 62404 in exponential form is:

62404 = 2² × 15601¹

Step-3: Factors of 62384

List of positive integer factors of 62384 that divides 62384 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 557, 1114, 2228, 3899, 4456, 7798, 8912, 15596, 31192

Step-4: Factors of 62404

List of positive integer factors of 62404 that divides 62384 without a remainder.

1, 2, 4, 15601, 31202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62384 and 62404. The biggest common factor number is the GCF number.
So the greatest common factor 62384 and 62404 is 4.

Also check out the Least Common Multiple of 62384 and 62404