What is the Greatest Common Factor of 27462 and 27476?

Greatest common factor (GCF) of 27462 and 27476 is 2.

GCF(27462,27476) = 2

We will now calculate the prime factors of 27462 and 27476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27462 and 27476.

How to find the GCF of 27462 and 27476?

We will first find the prime factorization of 27462 and 27476. After we will calculate the factors of 27462 and 27476 and find the biggest common factor number .

Step-1: Prime Factorization of 27462

Prime factors of 27462 are 2, 3, 23, 199. Prime factorization of 27462 in exponential form is:

27462 = 2¹ × 3¹ × 23¹ × 199¹

Step-2: Prime Factorization of 27476

Prime factors of 27476 are 2, 6869. Prime factorization of 27476 in exponential form is:

27476 = 2² × 6869¹

Step-3: Factors of 27462

List of positive integer factors of 27462 that divides 27462 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 199, 398, 597, 1194, 4577, 9154, 13731

Step-4: Factors of 27476

List of positive integer factors of 27476 that divides 27462 without a remainder.

1, 2, 4, 6869, 13738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27462 and 27476. The biggest common factor number is the GCF number.
So the greatest common factor 27462 and 27476 is 2.

Also check out the Least Common Multiple of 27462 and 27476