What is the Greatest Common Factor of 52905 and 52925?

Greatest common factor (GCF) of 52905 and 52925 is 5.

GCF(52905,52925) = 5

We will now calculate the prime factors of 52905 and 52925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52905 and 52925.

How to find the GCF of 52905 and 52925?

We will first find the prime factorization of 52905 and 52925. After we will calculate the factors of 52905 and 52925 and find the biggest common factor number .

Step-1: Prime Factorization of 52905

Prime factors of 52905 are 3, 5, 3527. Prime factorization of 52905 in exponential form is:

52905 = 3¹ × 5¹ × 3527¹

Step-2: Prime Factorization of 52925

Prime factors of 52925 are 5, 29, 73. Prime factorization of 52925 in exponential form is:

52925 = 5² × 29¹ × 73¹

Step-3: Factors of 52905

List of positive integer factors of 52905 that divides 52905 without a remainder.

1, 3, 5, 15, 3527, 10581, 17635

Step-4: Factors of 52925

List of positive integer factors of 52925 that divides 52905 without a remainder.

1, 5, 25, 29, 73, 145, 365, 725, 1825, 2117, 10585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52905 and 52925. The biggest common factor number is the GCF number.
So the greatest common factor 52905 and 52925 is 5.

Also check out the Least Common Multiple of 52905 and 52925