What is the Greatest Common Factor of 50928 and 50947?

Greatest common factor (GCF) of 50928 and 50947 is 1.

GCF(50928,50947) = 1

We will now calculate the prime factors of 50928 and 50947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50928 and 50947.

How to find the GCF of 50928 and 50947?

We will first find the prime factorization of 50928 and 50947. After we will calculate the factors of 50928 and 50947 and find the biggest common factor number .

Step-1: Prime Factorization of 50928

Prime factors of 50928 are 2, 3, 1061. Prime factorization of 50928 in exponential form is:

50928 = 2⁴ × 3¹ × 1061¹

Step-2: Prime Factorization of 50947

Prime factors of 50947 are 13, 3919. Prime factorization of 50947 in exponential form is:

50947 = 13¹ × 3919¹

Step-3: Factors of 50928

List of positive integer factors of 50928 that divides 50928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1061, 2122, 3183, 4244, 6366, 8488, 12732, 16976, 25464

Step-4: Factors of 50947

List of positive integer factors of 50947 that divides 50928 without a remainder.

1, 13, 3919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50928 and 50947. The biggest common factor number is the GCF number.
So the greatest common factor 50928 and 50947 is 1.

Also check out the Least Common Multiple of 50928 and 50947