What is the Greatest Common Factor of 53905 and 53925?

Greatest common factor (GCF) of 53905 and 53925 is 5.

GCF(53905,53925) = 5

We will now calculate the prime factors of 53905 and 53925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53905 and 53925.

How to find the GCF of 53905 and 53925?

We will first find the prime factorization of 53905 and 53925. After we will calculate the factors of 53905 and 53925 and find the biggest common factor number .

Step-1: Prime Factorization of 53905

Prime factors of 53905 are 5, 10781. Prime factorization of 53905 in exponential form is:

53905 = 5¹ × 10781¹

Step-2: Prime Factorization of 53925

Prime factors of 53925 are 3, 5, 719. Prime factorization of 53925 in exponential form is:

53925 = 3¹ × 5² × 719¹

Step-3: Factors of 53905

List of positive integer factors of 53905 that divides 53905 without a remainder.

1, 5, 10781

Step-4: Factors of 53925

List of positive integer factors of 53925 that divides 53905 without a remainder.

1, 3, 5, 15, 25, 75, 719, 2157, 3595, 10785, 17975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53905 and 53925. The biggest common factor number is the GCF number.
So the greatest common factor 53905 and 53925 is 5.

Also check out the Least Common Multiple of 53905 and 53925