What is the Greatest Common Factor of 50442 and 50458?

Greatest common factor (GCF) of 50442 and 50458 is 2.

GCF(50442,50458) = 2

We will now calculate the prime factors of 50442 and 50458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50442 and 50458.

How to find the GCF of 50442 and 50458?

We will first find the prime factorization of 50442 and 50458. After we will calculate the factors of 50442 and 50458 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 50458

Prime factors of 50458 are 2, 25229. Prime factorization of 50458 in exponential form is:

50458 = 2¹ × 25229¹

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 50458

List of positive integer factors of 50458 that divides 50442 without a remainder.

1, 2, 25229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50442 and 50458. The biggest common factor number is the GCF number.
So the greatest common factor 50442 and 50458 is 2.

Also check out the Least Common Multiple of 50442 and 50458