What is the Greatest Common Factor of 27401 and 27412?

Greatest common factor (GCF) of 27401 and 27412 is 11.

GCF(27401,27412) = 11

We will now calculate the prime factors of 27401 and 27412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27401 and 27412.

How to find the GCF of 27401 and 27412?

We will first find the prime factorization of 27401 and 27412. After we will calculate the factors of 27401 and 27412 and find the biggest common factor number .

Step-1: Prime Factorization of 27401

Prime factors of 27401 are 11, 47, 53. Prime factorization of 27401 in exponential form is:

27401 = 11¹ × 47¹ × 53¹

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 27401

List of positive integer factors of 27401 that divides 27401 without a remainder.

1, 11, 47, 53, 517, 583, 2491

Step-4: Factors of 27412

List of positive integer factors of 27412 that divides 27401 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 27401 and 27412. The biggest common factor number is the GCF number.
So the greatest common factor 27401 and 27412 is 11.

Also check out the Least Common Multiple of 27401 and 27412