What is the Greatest Common Factor of 27702 and 27722?

Greatest common factor (GCF) of 27702 and 27722 is 2.

GCF(27702,27722) = 2

We will now calculate the prime factors of 27702 and 27722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27702 and 27722.

How to find the GCF of 27702 and 27722?

We will first find the prime factorization of 27702 and 27722. After we will calculate the factors of 27702 and 27722 and find the biggest common factor number .

Step-1: Prime Factorization of 27702

Prime factors of 27702 are 2, 3, 19. Prime factorization of 27702 in exponential form is:

27702 = 2¹ × 3⁶ × 19¹

Step-2: Prime Factorization of 27722

Prime factors of 27722 are 2, 83, 167. Prime factorization of 27722 in exponential form is:

27722 = 2¹ × 83¹ × 167¹

Step-3: Factors of 27702

List of positive integer factors of 27702 that divides 27702 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 729, 1026, 1458, 1539, 3078, 4617, 9234, 13851

Step-4: Factors of 27722

List of positive integer factors of 27722 that divides 27702 without a remainder.

1, 2, 83, 166, 167, 334, 13861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27702 and 27722. The biggest common factor number is the GCF number.
So the greatest common factor 27702 and 27722 is 2.

Also check out the Least Common Multiple of 27702 and 27722