What is the Greatest Common Factor of 50986 and 50997?

Greatest common factor (GCF) of 50986 and 50997 is 1.

GCF(50986,50997) = 1

We will now calculate the prime factors of 50986 and 50997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50986 and 50997.

How to find the GCF of 50986 and 50997?

We will first find the prime factorization of 50986 and 50997. After we will calculate the factors of 50986 and 50997 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50997

Prime factors of 50997 are 3, 89, 191. Prime factorization of 50997 in exponential form is:

50997 = 3¹ × 89¹ × 191¹

Step-3: Factors of 50986

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

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

Step-4: Factors of 50997

List of positive integer factors of 50997 that divides 50986 without a remainder.

1, 3, 89, 191, 267, 573, 16999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50986 and 50997. The biggest common factor number is the GCF number.
So the greatest common factor 50986 and 50997 is 1.

Also check out the Least Common Multiple of 50986 and 50997