What is the Greatest Common Factor of 50925 and 50945?

Greatest common factor (GCF) of 50925 and 50945 is 5.

GCF(50925,50945) = 5

We will now calculate the prime factors of 50925 and 50945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50925 and 50945.

How to find the GCF of 50925 and 50945?

We will first find the prime factorization of 50925 and 50945. After we will calculate the factors of 50925 and 50945 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 50945

Prime factors of 50945 are 5, 23, 443. Prime factorization of 50945 in exponential form is:

50945 = 5¹ × 23¹ × 443¹

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 50945

List of positive integer factors of 50945 that divides 50925 without a remainder.

1, 5, 23, 115, 443, 2215, 10189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50925 and 50945. The biggest common factor number is the GCF number.
So the greatest common factor 50925 and 50945 is 5.

Also check out the Least Common Multiple of 50925 and 50945