What is the Greatest Common Factor of 52707 and 52722?

Greatest common factor (GCF) of 52707 and 52722 is 3.

GCF(52707,52722) = 3

We will now calculate the prime factors of 52707 and 52722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52707 and 52722.

How to find the GCF of 52707 and 52722?

We will first find the prime factorization of 52707 and 52722. After we will calculate the factors of 52707 and 52722 and find the biggest common factor number .

Step-1: Prime Factorization of 52707

Prime factors of 52707 are 3, 17569. Prime factorization of 52707 in exponential form is:

52707 = 3¹ × 17569¹

Step-2: Prime Factorization of 52722

Prime factors of 52722 are 2, 3, 29, 101. Prime factorization of 52722 in exponential form is:

52722 = 2¹ × 3² × 29¹ × 101¹

Step-3: Factors of 52707

List of positive integer factors of 52707 that divides 52707 without a remainder.

1, 3, 17569

Step-4: Factors of 52722

List of positive integer factors of 52722 that divides 52707 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 101, 174, 202, 261, 303, 522, 606, 909, 1818, 2929, 5858, 8787, 17574, 26361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52707 and 52722. The biggest common factor number is the GCF number.
So the greatest common factor 52707 and 52722 is 3.

Also check out the Least Common Multiple of 52707 and 52722