What is the Greatest Common Factor of 50597 and 50616?

Greatest common factor (GCF) of 50597 and 50616 is 19.

GCF(50597,50616) = 19

We will now calculate the prime factors of 50597 and 50616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50597 and 50616.

How to find the GCF of 50597 and 50616?

We will first find the prime factorization of 50597 and 50616. After we will calculate the factors of 50597 and 50616 and find the biggest common factor number .

Step-1: Prime Factorization of 50597

Prime factors of 50597 are 19, 2663. Prime factorization of 50597 in exponential form is:

50597 = 19¹ × 2663¹

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 50597

List of positive integer factors of 50597 that divides 50597 without a remainder.

1, 19, 2663

Step-4: Factors of 50616

List of positive integer factors of 50616 that divides 50597 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 50597 and 50616. The biggest common factor number is the GCF number.
So the greatest common factor 50597 and 50616 is 19.

Also check out the Least Common Multiple of 50597 and 50616