What is the Greatest Common Factor of 50604 and 50616?

Greatest common factor (GCF) of 50604 and 50616 is 12.

GCF(50604,50616) = 12

We will now calculate the prime factors of 50604 and 50616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50604 and 50616.

How to find the GCF of 50604 and 50616?

We will first find the prime factorization of 50604 and 50616. After we will calculate the factors of 50604 and 50616 and find the biggest common factor number .

Step-1: Prime Factorization of 50604

Prime factors of 50604 are 2, 3, 4217. Prime factorization of 50604 in exponential form is:

50604 = 2² × 3¹ × 4217¹

Step-2: Prime Factorization of 50616

Prime factors of 50616 are 2, 3, 19, 37. Prime factorization of 50616 in exponential form is:

50616 = 2³ × 3² × 19¹ × 37¹

Step-3: Factors of 50604

List of positive integer factors of 50604 that divides 50604 without a remainder.

1, 2, 3, 4, 6, 12, 4217, 8434, 12651, 16868, 25302

Step-4: Factors of 50616

List of positive integer factors of 50616 that divides 50604 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 37, 38, 57, 72, 74, 76, 111, 114, 148, 152, 171, 222, 228, 296, 333, 342, 444, 456, 666, 684, 703, 888, 1332, 1368, 1406, 2109, 2664, 2812, 4218, 5624, 6327, 8436, 12654, 16872, 25308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50604 and 50616. The biggest common factor number is the GCF number.
So the greatest common factor 50604 and 50616 is 12.

Also check out the Least Common Multiple of 50604 and 50616