What is the Greatest Common Factor of 50658 and 50676?

Greatest common factor (GCF) of 50658 and 50676 is 6.

GCF(50658,50676) = 6

We will now calculate the prime factors of 50658 and 50676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50658 and 50676.

How to find the GCF of 50658 and 50676?

We will first find the prime factorization of 50658 and 50676. After we will calculate the factors of 50658 and 50676 and find the biggest common factor number .

Step-1: Prime Factorization of 50658

Prime factors of 50658 are 2, 3, 8443. Prime factorization of 50658 in exponential form is:

50658 = 2¹ × 3¹ × 8443¹

Step-2: Prime Factorization of 50676

Prime factors of 50676 are 2, 3, 41, 103. Prime factorization of 50676 in exponential form is:

50676 = 2² × 3¹ × 41¹ × 103¹

Step-3: Factors of 50658

List of positive integer factors of 50658 that divides 50658 without a remainder.

1, 2, 3, 6, 8443, 16886, 25329

Step-4: Factors of 50676

List of positive integer factors of 50676 that divides 50658 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 103, 123, 164, 206, 246, 309, 412, 492, 618, 1236, 4223, 8446, 12669, 16892, 25338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50658 and 50676. The biggest common factor number is the GCF number.
So the greatest common factor 50658 and 50676 is 6.

Also check out the Least Common Multiple of 50658 and 50676