What is the Greatest Common Factor of 27995 and 28006?

Greatest common factor (GCF) of 27995 and 28006 is 11.

GCF(27995,28006) = 11

We will now calculate the prime factors of 27995 and 28006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27995 and 28006.

How to find the GCF of 27995 and 28006?

We will first find the prime factorization of 27995 and 28006. After we will calculate the factors of 27995 and 28006 and find the biggest common factor number .

Step-1: Prime Factorization of 27995

Prime factors of 27995 are 5, 11, 509. Prime factorization of 27995 in exponential form is:

27995 = 5¹ × 11¹ × 509¹

Step-2: Prime Factorization of 28006

Prime factors of 28006 are 2, 11, 19, 67. Prime factorization of 28006 in exponential form is:

28006 = 2¹ × 11¹ × 19¹ × 67¹

Step-3: Factors of 27995

List of positive integer factors of 27995 that divides 27995 without a remainder.

1, 5, 11, 55, 509, 2545, 5599

Step-4: Factors of 28006

List of positive integer factors of 28006 that divides 27995 without a remainder.

1, 2, 11, 19, 22, 38, 67, 134, 209, 418, 737, 1273, 1474, 2546, 14003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27995 and 28006. The biggest common factor number is the GCF number.
So the greatest common factor 27995 and 28006 is 11.

Also check out the Least Common Multiple of 27995 and 28006