What is the Greatest Common Factor of 50905 and 50925?

Greatest common factor (GCF) of 50905 and 50925 is 5.

GCF(50905,50925) = 5

We will now calculate the prime factors of 50905 and 50925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50905 and 50925.

How to find the GCF of 50905 and 50925?

We will first find the prime factorization of 50905 and 50925. After we will calculate the factors of 50905 and 50925 and find the biggest common factor number .

Step-1: Prime Factorization of 50905

Prime factors of 50905 are 5, 10181. Prime factorization of 50905 in exponential form is:

50905 = 5¹ × 10181¹

Step-2: 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-3: Factors of 50905

List of positive integer factors of 50905 that divides 50905 without a remainder.

1, 5, 10181

Step-4: Factors of 50925

List of positive integer factors of 50925 that divides 50905 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50905 and 50925. The biggest common factor number is the GCF number.
So the greatest common factor 50905 and 50925 is 5.

Also check out the Least Common Multiple of 50905 and 50925