What is the Greatest Common Factor of 49584 and 49604?

Greatest common factor (GCF) of 49584 and 49604 is 4.

GCF(49584,49604) = 4

We will now calculate the prime factors of 49584 and 49604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49584 and 49604.

How to find the GCF of 49584 and 49604?

We will first find the prime factorization of 49584 and 49604. After we will calculate the factors of 49584 and 49604 and find the biggest common factor number .

Step-1: Prime Factorization of 49584

Prime factors of 49584 are 2, 3, 1033. Prime factorization of 49584 in exponential form is:

49584 = 2⁴ × 3¹ × 1033¹

Step-2: Prime Factorization of 49604

Prime factors of 49604 are 2, 12401. Prime factorization of 49604 in exponential form is:

49604 = 2² × 12401¹

Step-3: Factors of 49584

List of positive integer factors of 49584 that divides 49584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1033, 2066, 3099, 4132, 6198, 8264, 12396, 16528, 24792

Step-4: Factors of 49604

List of positive integer factors of 49604 that divides 49584 without a remainder.

1, 2, 4, 12401, 24802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49584 and 49604. The biggest common factor number is the GCF number.
So the greatest common factor 49584 and 49604 is 4.

Also check out the Least Common Multiple of 49584 and 49604