What is the Greatest Common Factor of 50526 and 50535?

Greatest common factor (GCF) of 50526 and 50535 is 9.

GCF(50526,50535) = 9

We will now calculate the prime factors of 50526 and 50535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50526 and 50535.

How to find the GCF of 50526 and 50535?

We will first find the prime factorization of 50526 and 50535. After we will calculate the factors of 50526 and 50535 and find the biggest common factor number .

Step-1: Prime Factorization of 50526

Prime factors of 50526 are 2, 3, 7, 401. Prime factorization of 50526 in exponential form is:

50526 = 2¹ × 3² × 7¹ × 401¹

Step-2: Prime Factorization of 50535

Prime factors of 50535 are 3, 5, 1123. Prime factorization of 50535 in exponential form is:

50535 = 3² × 5¹ × 1123¹

Step-3: Factors of 50526

List of positive integer factors of 50526 that divides 50526 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 401, 802, 1203, 2406, 2807, 3609, 5614, 7218, 8421, 16842, 25263

Step-4: Factors of 50535

List of positive integer factors of 50535 that divides 50526 without a remainder.

1, 3, 5, 9, 15, 45, 1123, 3369, 5615, 10107, 16845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50526 and 50535. The biggest common factor number is the GCF number.
So the greatest common factor 50526 and 50535 is 9.

Also check out the Least Common Multiple of 50526 and 50535