What is the Greatest Common Factor of 27784 and 27802?

Greatest common factor (GCF) of 27784 and 27802 is 2.

GCF(27784,27802) = 2

We will now calculate the prime factors of 27784 and 27802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27784 and 27802.

How to find the GCF of 27784 and 27802?

We will first find the prime factorization of 27784 and 27802. After we will calculate the factors of 27784 and 27802 and find the biggest common factor number .

Step-1: Prime Factorization of 27784

Prime factors of 27784 are 2, 23, 151. Prime factorization of 27784 in exponential form is:

27784 = 2³ × 23¹ × 151¹

Step-2: Prime Factorization of 27802

Prime factors of 27802 are 2, 13901. Prime factorization of 27802 in exponential form is:

27802 = 2¹ × 13901¹

Step-3: Factors of 27784

List of positive integer factors of 27784 that divides 27784 without a remainder.

1, 2, 4, 8, 23, 46, 92, 151, 184, 302, 604, 1208, 3473, 6946, 13892

Step-4: Factors of 27802

List of positive integer factors of 27802 that divides 27784 without a remainder.

1, 2, 13901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27784 and 27802. The biggest common factor number is the GCF number.
So the greatest common factor 27784 and 27802 is 2.

Also check out the Least Common Multiple of 27784 and 27802