What is the Greatest Common Factor of 27447 and 27461?

Greatest common factor (GCF) of 27447 and 27461 is 7.

GCF(27447,27461) = 7

We will now calculate the prime factors of 27447 and 27461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27447 and 27461.

How to find the GCF of 27447 and 27461?

We will first find the prime factorization of 27447 and 27461. After we will calculate the factors of 27447 and 27461 and find the biggest common factor number .

Step-1: Prime Factorization of 27447

Prime factors of 27447 are 3, 7, 1307. Prime factorization of 27447 in exponential form is:

27447 = 3¹ × 7¹ × 1307¹

Step-2: Prime Factorization of 27461

Prime factors of 27461 are 7, 3923. Prime factorization of 27461 in exponential form is:

27461 = 7¹ × 3923¹

Step-3: Factors of 27447

List of positive integer factors of 27447 that divides 27447 without a remainder.

1, 3, 7, 21, 1307, 3921, 9149

Step-4: Factors of 27461

List of positive integer factors of 27461 that divides 27447 without a remainder.

1, 7, 3923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27447 and 27461. The biggest common factor number is the GCF number.
So the greatest common factor 27447 and 27461 is 7.

Also check out the Least Common Multiple of 27447 and 27461