What is the Greatest Common Factor of 50973 and 50986?

Greatest common factor (GCF) of 50973 and 50986 is 13.

GCF(50973,50986) = 13

We will now calculate the prime factors of 50973 and 50986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50973 and 50986.

How to find the GCF of 50973 and 50986?

We will first find the prime factorization of 50973 and 50986. After we will calculate the factors of 50973 and 50986 and find the biggest common factor number .

Step-1: Prime Factorization of 50973

Prime factors of 50973 are 3, 13, 1307. Prime factorization of 50973 in exponential form is:

50973 = 3¹ × 13¹ × 1307¹

Step-2: Prime Factorization of 50986

Prime factors of 50986 are 2, 13, 37, 53. Prime factorization of 50986 in exponential form is:

50986 = 2¹ × 13¹ × 37¹ × 53¹

Step-3: Factors of 50973

List of positive integer factors of 50973 that divides 50973 without a remainder.

1, 3, 13, 39, 1307, 3921, 16991

Step-4: Factors of 50986

List of positive integer factors of 50986 that divides 50973 without a remainder.

1, 2, 13, 26, 37, 53, 74, 106, 481, 689, 962, 1378, 1961, 3922, 25493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50973 and 50986. The biggest common factor number is the GCF number.
So the greatest common factor 50973 and 50986 is 13.

Also check out the Least Common Multiple of 50973 and 50986