What is the Greatest Common Factor of 49584 and 49596?

Greatest common factor (GCF) of 49584 and 49596 is 12.

GCF(49584,49596) = 12

We will now calculate the prime factors of 49584 and 49596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49584 and 49596.

How to find the GCF of 49584 and 49596?

We will first find the prime factorization of 49584 and 49596. After we will calculate the factors of 49584 and 49596 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 49596

Prime factors of 49596 are 2, 3, 4133. Prime factorization of 49596 in exponential form is:

49596 = 2² × 3¹ × 4133¹

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 49596

List of positive integer factors of 49596 that divides 49584 without a remainder.

1, 2, 3, 4, 6, 12, 4133, 8266, 12399, 16532, 24798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49584 and 49596. The biggest common factor number is the GCF number.
So the greatest common factor 49584 and 49596 is 12.

Also check out the Least Common Multiple of 49584 and 49596