What is the Greatest Common Factor of 50925 and 50943?

Greatest common factor (GCF) of 50925 and 50943 is 3.

GCF(50925,50943) = 3

We will now calculate the prime factors of 50925 and 50943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50925 and 50943.

How to find the GCF of 50925 and 50943?

We will first find the prime factorization of 50925 and 50943. After we will calculate the factors of 50925 and 50943 and find the biggest common factor number .

Step-1: Prime Factorization of 50925

Prime factors of 50925 are 3, 5, 7, 97. Prime factorization of 50925 in exponential form is:

50925 = 3¹ × 5² × 7¹ × 97¹

Step-2: Prime Factorization of 50943

Prime factors of 50943 are 3, 16981. Prime factorization of 50943 in exponential form is:

50943 = 3¹ × 16981¹

Step-3: Factors of 50925

List of positive integer factors of 50925 that divides 50925 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 97, 105, 175, 291, 485, 525, 679, 1455, 2037, 2425, 3395, 7275, 10185, 16975

Step-4: Factors of 50943

List of positive integer factors of 50943 that divides 50925 without a remainder.

1, 3, 16981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50925 and 50943. The biggest common factor number is the GCF number.
So the greatest common factor 50925 and 50943 is 3.

Also check out the Least Common Multiple of 50925 and 50943