What is the Greatest Common Factor of 52695 and 52705?

Greatest common factor (GCF) of 52695 and 52705 is 5.

GCF(52695,52705) = 5

We will now calculate the prime factors of 52695 and 52705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52695 and 52705.

How to find the GCF of 52695 and 52705?

We will first find the prime factorization of 52695 and 52705. After we will calculate the factors of 52695 and 52705 and find the biggest common factor number .

Step-1: Prime Factorization of 52695

Prime factors of 52695 are 3, 5, 1171. Prime factorization of 52695 in exponential form is:

52695 = 3² × 5¹ × 1171¹

Step-2: Prime Factorization of 52705

Prime factors of 52705 are 5, 83, 127. Prime factorization of 52705 in exponential form is:

52705 = 5¹ × 83¹ × 127¹

Step-3: Factors of 52695

List of positive integer factors of 52695 that divides 52695 without a remainder.

1, 3, 5, 9, 15, 45, 1171, 3513, 5855, 10539, 17565

Step-4: Factors of 52705

List of positive integer factors of 52705 that divides 52695 without a remainder.

1, 5, 83, 127, 415, 635, 10541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52695 and 52705. The biggest common factor number is the GCF number.
So the greatest common factor 52695 and 52705 is 5.

Also check out the Least Common Multiple of 52695 and 52705