What is the Greatest Common Factor of 51548 and 51565?

Greatest common factor (GCF) of 51548 and 51565 is 1.

GCF(51548,51565) = 1

We will now calculate the prime factors of 51548 and 51565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51548 and 51565.

How to find the GCF of 51548 and 51565?

We will first find the prime factorization of 51548 and 51565. After we will calculate the factors of 51548 and 51565 and find the biggest common factor number .

Step-1: Prime Factorization of 51548

Prime factors of 51548 are 2, 7, 263. Prime factorization of 51548 in exponential form is:

51548 = 2² × 7² × 263¹

Step-2: Prime Factorization of 51565

Prime factors of 51565 are 5, 10313. Prime factorization of 51565 in exponential form is:

51565 = 5¹ × 10313¹

Step-3: Factors of 51548

List of positive integer factors of 51548 that divides 51548 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 263, 526, 1052, 1841, 3682, 7364, 12887, 25774

Step-4: Factors of 51565

List of positive integer factors of 51565 that divides 51548 without a remainder.

1, 5, 10313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51548 and 51565. The biggest common factor number is the GCF number.
So the greatest common factor 51548 and 51565 is 1.

Also check out the Least Common Multiple of 51548 and 51565