What is the Greatest Common Factor of 50628 and 50642?

Greatest common factor (GCF) of 50628 and 50642 is 2.

GCF(50628,50642) = 2

We will now calculate the prime factors of 50628 and 50642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50628 and 50642.

How to find the GCF of 50628 and 50642?

We will first find the prime factorization of 50628 and 50642. After we will calculate the factors of 50628 and 50642 and find the biggest common factor number .

Step-1: Prime Factorization of 50628

Prime factors of 50628 are 2, 3, 4219. Prime factorization of 50628 in exponential form is:

50628 = 2² × 3¹ × 4219¹

Step-2: Prime Factorization of 50642

Prime factors of 50642 are 2, 25321. Prime factorization of 50642 in exponential form is:

50642 = 2¹ × 25321¹

Step-3: Factors of 50628

List of positive integer factors of 50628 that divides 50628 without a remainder.

1, 2, 3, 4, 6, 12, 4219, 8438, 12657, 16876, 25314

Step-4: Factors of 50642

List of positive integer factors of 50642 that divides 50628 without a remainder.

1, 2, 25321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50628 and 50642. The biggest common factor number is the GCF number.
So the greatest common factor 50628 and 50642 is 2.

Also check out the Least Common Multiple of 50628 and 50642