What is the Greatest Common Factor of 50561 and 50568?

Greatest common factor (GCF) of 50561 and 50568 is 7.

GCF(50561,50568) = 7

We will now calculate the prime factors of 50561 and 50568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50561 and 50568.

How to find the GCF of 50561 and 50568?

We will first find the prime factorization of 50561 and 50568. After we will calculate the factors of 50561 and 50568 and find the biggest common factor number .

Step-1: Prime Factorization of 50561

Prime factors of 50561 are 7, 31, 233. Prime factorization of 50561 in exponential form is:

50561 = 7¹ × 31¹ × 233¹

Step-2: Prime Factorization of 50568

Prime factors of 50568 are 2, 3, 7, 43. Prime factorization of 50568 in exponential form is:

50568 = 2³ × 3¹ × 7² × 43¹

Step-3: Factors of 50561

List of positive integer factors of 50561 that divides 50561 without a remainder.

1, 7, 31, 217, 233, 1631, 7223

Step-4: Factors of 50568

List of positive integer factors of 50568 that divides 50561 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 49, 56, 84, 86, 98, 129, 147, 168, 172, 196, 258, 294, 301, 344, 392, 516, 588, 602, 903, 1032, 1176, 1204, 1806, 2107, 2408, 3612, 4214, 6321, 7224, 8428, 12642, 16856, 25284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50561 and 50568. The biggest common factor number is the GCF number.
So the greatest common factor 50561 and 50568 is 7.

Also check out the Least Common Multiple of 50561 and 50568