What is the Greatest Common Factor of 50828 and 50847?

Greatest common factor (GCF) of 50828 and 50847 is 1.

GCF(50828,50847) = 1

We will now calculate the prime factors of 50828 and 50847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50828 and 50847.

How to find the GCF of 50828 and 50847?

We will first find the prime factorization of 50828 and 50847. After we will calculate the factors of 50828 and 50847 and find the biggest common factor number .

Step-1: Prime Factorization of 50828

Prime factors of 50828 are 2, 97, 131. Prime factorization of 50828 in exponential form is:

50828 = 2² × 97¹ × 131¹

Step-2: Prime Factorization of 50847

Prime factors of 50847 are 3, 17, 997. Prime factorization of 50847 in exponential form is:

50847 = 3¹ × 17¹ × 997¹

Step-3: Factors of 50828

List of positive integer factors of 50828 that divides 50828 without a remainder.

1, 2, 4, 97, 131, 194, 262, 388, 524, 12707, 25414

Step-4: Factors of 50847

List of positive integer factors of 50847 that divides 50828 without a remainder.

1, 3, 17, 51, 997, 2991, 16949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50828 and 50847. The biggest common factor number is the GCF number.
So the greatest common factor 50828 and 50847 is 1.

Also check out the Least Common Multiple of 50828 and 50847