What is the Greatest Common Factor of 27412 and 27419?

Greatest common factor (GCF) of 27412 and 27419 is 7.

GCF(27412,27419) = 7

We will now calculate the prime factors of 27412 and 27419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27412 and 27419.

How to find the GCF of 27412 and 27419?

We will first find the prime factorization of 27412 and 27419. After we will calculate the factors of 27412 and 27419 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27419

Prime factors of 27419 are 7, 3917. Prime factorization of 27419 in exponential form is:

27419 = 7¹ × 3917¹

Step-3: Factors of 27412

List of positive integer factors of 27412 that divides 27412 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

Step-4: Factors of 27419

List of positive integer factors of 27419 that divides 27412 without a remainder.

1, 7, 3917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27412 and 27419. The biggest common factor number is the GCF number.
So the greatest common factor 27412 and 27419 is 7.

Also check out the Least Common Multiple of 27412 and 27419