What is the Greatest Common Factor of 53925 and 53936?

Greatest common factor (GCF) of 53925 and 53936 is 1.

GCF(53925,53936) = 1

We will now calculate the prime factors of 53925 and 53936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53925 and 53936.

How to find the GCF of 53925 and 53936?

We will first find the prime factorization of 53925 and 53936. After we will calculate the factors of 53925 and 53936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53936

Prime factors of 53936 are 2, 3371. Prime factorization of 53936 in exponential form is:

53936 = 2⁴ × 3371¹

Step-3: Factors of 53925

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

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

Step-4: Factors of 53936

List of positive integer factors of 53936 that divides 53925 without a remainder.

1, 2, 4, 8, 16, 3371, 6742, 13484, 26968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53925 and 53936. The biggest common factor number is the GCF number.
So the greatest common factor 53925 and 53936 is 1.

Also check out the Least Common Multiple of 53925 and 53936