What is the Greatest Common Factor of 52662 and 52671?

Greatest common factor (GCF) of 52662 and 52671 is 3.

GCF(52662,52671) = 3

We will now calculate the prime factors of 52662 and 52671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52662 and 52671.

How to find the GCF of 52662 and 52671?

We will first find the prime factorization of 52662 and 52671. After we will calculate the factors of 52662 and 52671 and find the biggest common factor number .

Step-1: Prime Factorization of 52662

Prime factors of 52662 are 2, 3, 67, 131. Prime factorization of 52662 in exponential form is:

52662 = 2¹ × 3¹ × 67¹ × 131¹

Step-2: Prime Factorization of 52671

Prime factors of 52671 are 3, 97, 181. Prime factorization of 52671 in exponential form is:

52671 = 3¹ × 97¹ × 181¹

Step-3: Factors of 52662

List of positive integer factors of 52662 that divides 52662 without a remainder.

1, 2, 3, 6, 67, 131, 134, 201, 262, 393, 402, 786, 8777, 17554, 26331

Step-4: Factors of 52671

List of positive integer factors of 52671 that divides 52662 without a remainder.

1, 3, 97, 181, 291, 543, 17557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52662 and 52671. The biggest common factor number is the GCF number.
So the greatest common factor 52662 and 52671 is 3.

Also check out the Least Common Multiple of 52662 and 52671