What is the Greatest Common Factor of 50442 and 50457?

Greatest common factor (GCF) of 50442 and 50457 is 3.

GCF(50442,50457) = 3

We will now calculate the prime factors of 50442 and 50457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50442 and 50457.

How to find the GCF of 50442 and 50457?

We will first find the prime factorization of 50442 and 50457. After we will calculate the factors of 50442 and 50457 and find the biggest common factor number .

Step-1: Prime Factorization of 50442

Prime factors of 50442 are 2, 3, 7, 1201. Prime factorization of 50442 in exponential form is:

50442 = 2¹ × 3¹ × 7¹ × 1201¹

Step-2: Prime Factorization of 50457

Prime factors of 50457 are 3, 11, 139. Prime factorization of 50457 in exponential form is:

50457 = 3¹ × 11² × 139¹

Step-3: Factors of 50442

List of positive integer factors of 50442 that divides 50442 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1201, 2402, 3603, 7206, 8407, 16814, 25221

Step-4: Factors of 50457

List of positive integer factors of 50457 that divides 50442 without a remainder.

1, 3, 11, 33, 121, 139, 363, 417, 1529, 4587, 16819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50442 and 50457. The biggest common factor number is the GCF number.
So the greatest common factor 50442 and 50457 is 3.

Also check out the Least Common Multiple of 50442 and 50457