What is the Greatest Common Factor of 50840 and 50860?

Greatest common factor (GCF) of 50840 and 50860 is 20.

GCF(50840,50860) = 20

We will now calculate the prime factors of 50840 and 50860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50840 and 50860.

How to find the GCF of 50840 and 50860?

We will first find the prime factorization of 50840 and 50860. After we will calculate the factors of 50840 and 50860 and find the biggest common factor number .

Step-1: Prime Factorization of 50840

Prime factors of 50840 are 2, 5, 31, 41. Prime factorization of 50840 in exponential form is:

50840 = 2³ × 5¹ × 31¹ × 41¹

Step-2: Prime Factorization of 50860

Prime factors of 50860 are 2, 5, 2543. Prime factorization of 50860 in exponential form is:

50860 = 2² × 5¹ × 2543¹

Step-3: Factors of 50840

List of positive integer factors of 50840 that divides 50840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 41, 62, 82, 124, 155, 164, 205, 248, 310, 328, 410, 620, 820, 1240, 1271, 1640, 2542, 5084, 6355, 10168, 12710, 25420

Step-4: Factors of 50860

List of positive integer factors of 50860 that divides 50840 without a remainder.

1, 2, 4, 5, 10, 20, 2543, 5086, 10172, 12715, 25430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50840 and 50860. The biggest common factor number is the GCF number.
So the greatest common factor 50840 and 50860 is 20.

Also check out the Least Common Multiple of 50840 and 50860