What is the Greatest Common Factor of 50986 and 51005?

Greatest common factor (GCF) of 50986 and 51005 is 1.

GCF(50986,51005) = 1

We will now calculate the prime factors of 50986 and 51005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50986 and 51005.

How to find the GCF of 50986 and 51005?

We will first find the prime factorization of 50986 and 51005. After we will calculate the factors of 50986 and 51005 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 51005

Prime factors of 51005 are 5, 101. Prime factorization of 51005 in exponential form is:

51005 = 5¹ × 101²

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 51005

List of positive integer factors of 51005 that divides 50986 without a remainder.

1, 5, 101, 505, 10201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50986 and 51005. The biggest common factor number is the GCF number.
So the greatest common factor 50986 and 51005 is 1.

Also check out the Least Common Multiple of 50986 and 51005