What is the Greatest Common Factor of 50986 and 51002?

Greatest common factor (GCF) of 50986 and 51002 is 2.

GCF(50986,51002) = 2

We will now calculate the prime factors of 50986 and 51002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50986 and 51002.

How to find the GCF of 50986 and 51002?

We will first find the prime factorization of 50986 and 51002. After we will calculate the factors of 50986 and 51002 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 51002

Prime factors of 51002 are 2, 7, 3643. Prime factorization of 51002 in exponential form is:

51002 = 2¹ × 7¹ × 3643¹

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 51002

List of positive integer factors of 51002 that divides 50986 without a remainder.

1, 2, 7, 14, 3643, 7286, 25501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50986 and 51002. The biggest common factor number is the GCF number.
So the greatest common factor 50986 and 51002 is 2.

Also check out the Least Common Multiple of 50986 and 51002