What is the Greatest Common Factor of 50699 and 50710?

Greatest common factor (GCF) of 50699 and 50710 is 11.

GCF(50699,50710) = 11

We will now calculate the prime factors of 50699 and 50710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50699 and 50710.

How to find the GCF of 50699 and 50710?

We will first find the prime factorization of 50699 and 50710. After we will calculate the factors of 50699 and 50710 and find the biggest common factor number .

Step-1: Prime Factorization of 50699

Prime factors of 50699 are 11, 419. Prime factorization of 50699 in exponential form is:

50699 = 11² × 419¹

Step-2: Prime Factorization of 50710

Prime factors of 50710 are 2, 5, 11, 461. Prime factorization of 50710 in exponential form is:

50710 = 2¹ × 5¹ × 11¹ × 461¹

Step-3: Factors of 50699

List of positive integer factors of 50699 that divides 50699 without a remainder.

1, 11, 121, 419, 4609

Step-4: Factors of 50710

List of positive integer factors of 50710 that divides 50699 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 461, 922, 2305, 4610, 5071, 10142, 25355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50699 and 50710. The biggest common factor number is the GCF number.
So the greatest common factor 50699 and 50710 is 11.

Also check out the Least Common Multiple of 50699 and 50710