What is the Greatest Common Factor of 50608 and 50622?

Greatest common factor (GCF) of 50608 and 50622 is 2.

GCF(50608,50622) = 2

We will now calculate the prime factors of 50608 and 50622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50608 and 50622.

How to find the GCF of 50608 and 50622?

We will first find the prime factorization of 50608 and 50622. After we will calculate the factors of 50608 and 50622 and find the biggest common factor number .

Step-1: Prime Factorization of 50608

Prime factors of 50608 are 2, 3163. Prime factorization of 50608 in exponential form is:

50608 = 2⁴ × 3163¹

Step-2: Prime Factorization of 50622

Prime factors of 50622 are 2, 3, 11, 13, 59. Prime factorization of 50622 in exponential form is:

50622 = 2¹ × 3¹ × 11¹ × 13¹ × 59¹

Step-3: Factors of 50608

List of positive integer factors of 50608 that divides 50608 without a remainder.

1, 2, 4, 8, 16, 3163, 6326, 12652, 25304

Step-4: Factors of 50622

List of positive integer factors of 50622 that divides 50608 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 59, 66, 78, 118, 143, 177, 286, 354, 429, 649, 767, 858, 1298, 1534, 1947, 2301, 3894, 4602, 8437, 16874, 25311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50608 and 50622. The biggest common factor number is the GCF number.
So the greatest common factor 50608 and 50622 is 2.

Also check out the Least Common Multiple of 50608 and 50622