What is the Greatest Common Factor of 50650 and 50670?

Greatest common factor (GCF) of 50650 and 50670 is 10.

GCF(50650,50670) = 10

We will now calculate the prime factors of 50650 and 50670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50650 and 50670.

How to find the GCF of 50650 and 50670?

We will first find the prime factorization of 50650 and 50670. After we will calculate the factors of 50650 and 50670 and find the biggest common factor number .

Step-1: Prime Factorization of 50650

Prime factors of 50650 are 2, 5, 1013. Prime factorization of 50650 in exponential form is:

50650 = 2¹ × 5² × 1013¹

Step-2: Prime Factorization of 50670

Prime factors of 50670 are 2, 3, 5, 563. Prime factorization of 50670 in exponential form is:

50670 = 2¹ × 3² × 5¹ × 563¹

Step-3: Factors of 50650

List of positive integer factors of 50650 that divides 50650 without a remainder.

1, 2, 5, 10, 25, 50, 1013, 2026, 5065, 10130, 25325

Step-4: Factors of 50670

List of positive integer factors of 50670 that divides 50650 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 563, 1126, 1689, 2815, 3378, 5067, 5630, 8445, 10134, 16890, 25335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50650 and 50670. The biggest common factor number is the GCF number.
So the greatest common factor 50650 and 50670 is 10.

Also check out the Least Common Multiple of 50650 and 50670