What is the Greatest Common Factor of 50542 and 50546?

Greatest common factor (GCF) of 50542 and 50546 is 2.

GCF(50542,50546) = 2

We will now calculate the prime factors of 50542 and 50546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50542 and 50546.

How to find the GCF of 50542 and 50546?

We will first find the prime factorization of 50542 and 50546. After we will calculate the factors of 50542 and 50546 and find the biggest common factor number .

Step-1: Prime Factorization of 50542

Prime factors of 50542 are 2, 37, 683. Prime factorization of 50542 in exponential form is:

50542 = 2¹ × 37¹ × 683¹

Step-2: Prime Factorization of 50546

Prime factors of 50546 are 2, 127, 199. Prime factorization of 50546 in exponential form is:

50546 = 2¹ × 127¹ × 199¹

Step-3: Factors of 50542

List of positive integer factors of 50542 that divides 50542 without a remainder.

1, 2, 37, 74, 683, 1366, 25271

Step-4: Factors of 50546

List of positive integer factors of 50546 that divides 50542 without a remainder.

1, 2, 127, 199, 254, 398, 25273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50542 and 50546. The biggest common factor number is the GCF number.
So the greatest common factor 50542 and 50546 is 2.

Also check out the Least Common Multiple of 50542 and 50546