What is the Greatest Common Factor of 50996 and 51007?

Greatest common factor (GCF) of 50996 and 51007 is 11.

GCF(50996,51007) = 11

We will now calculate the prime factors of 50996 and 51007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50996 and 51007.

How to find the GCF of 50996 and 51007?

We will first find the prime factorization of 50996 and 51007. After we will calculate the factors of 50996 and 51007 and find the biggest common factor number .

Step-1: Prime Factorization of 50996

Prime factors of 50996 are 2, 11, 19, 61. Prime factorization of 50996 in exponential form is:

50996 = 2² × 11¹ × 19¹ × 61¹

Step-2: Prime Factorization of 51007

Prime factors of 51007 are 11, 4637. Prime factorization of 51007 in exponential form is:

51007 = 11¹ × 4637¹

Step-3: Factors of 50996

List of positive integer factors of 50996 that divides 50996 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 61, 76, 122, 209, 244, 418, 671, 836, 1159, 1342, 2318, 2684, 4636, 12749, 25498

Step-4: Factors of 51007

List of positive integer factors of 51007 that divides 50996 without a remainder.

1, 11, 4637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50996 and 51007. The biggest common factor number is the GCF number.
So the greatest common factor 50996 and 51007 is 11.

Also check out the Least Common Multiple of 50996 and 51007