What is the Greatest Common Factor of 27403 and 27412?

Greatest common factor (GCF) of 27403 and 27412 is 1.

GCF(27403,27412) = 1

We will now calculate the prime factors of 27403 and 27412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27403 and 27412.

How to find the GCF of 27403 and 27412?

We will first find the prime factorization of 27403 and 27412. After we will calculate the factors of 27403 and 27412 and find the biggest common factor number .

Step-1: Prime Factorization of 27403

Prime factors of 27403 are 67, 409. Prime factorization of 27403 in exponential form is:

27403 = 67¹ × 409¹

Step-2: Prime Factorization of 27412

Prime factors of 27412 are 2, 7, 11, 89. Prime factorization of 27412 in exponential form is:

27412 = 2² × 7¹ × 11¹ × 89¹

Step-3: Factors of 27403

List of positive integer factors of 27403 that divides 27403 without a remainder.

1, 67, 409

Step-4: Factors of 27412

List of positive integer factors of 27412 that divides 27403 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 89, 154, 178, 308, 356, 623, 979, 1246, 1958, 2492, 3916, 6853, 13706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27403 and 27412. The biggest common factor number is the GCF number.
So the greatest common factor 27403 and 27412 is 1.

Also check out the Least Common Multiple of 27403 and 27412