What is the Greatest Common Factor of 50616 and 50635?

Greatest common factor (GCF) of 50616 and 50635 is 19.

GCF(50616,50635) = 19

We will now calculate the prime factors of 50616 and 50635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50616 and 50635.

How to find the GCF of 50616 and 50635?

We will first find the prime factorization of 50616 and 50635. After we will calculate the factors of 50616 and 50635 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50635

Prime factors of 50635 are 5, 13, 19, 41. Prime factorization of 50635 in exponential form is:

50635 = 5¹ × 13¹ × 19¹ × 41¹

Step-3: Factors of 50616

List of positive integer factors of 50616 that divides 50616 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

Step-4: Factors of 50635

List of positive integer factors of 50635 that divides 50616 without a remainder.

1, 5, 13, 19, 41, 65, 95, 205, 247, 533, 779, 1235, 2665, 3895, 10127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50616 and 50635. The biggest common factor number is the GCF number.
So the greatest common factor 50616 and 50635 is 19.

Also check out the Least Common Multiple of 50616 and 50635