What is the Greatest Common Factor of 27069 and 27076?

Greatest common factor (GCF) of 27069 and 27076 is 7.

GCF(27069,27076) = 7

We will now calculate the prime factors of 27069 and 27076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27069 and 27076.

How to find the GCF of 27069 and 27076?

We will first find the prime factorization of 27069 and 27076. After we will calculate the factors of 27069 and 27076 and find the biggest common factor number .

Step-1: Prime Factorization of 27069

Prime factors of 27069 are 3, 7, 1289. Prime factorization of 27069 in exponential form is:

27069 = 3¹ × 7¹ × 1289¹

Step-2: Prime Factorization of 27076

Prime factors of 27076 are 2, 7, 967. Prime factorization of 27076 in exponential form is:

27076 = 2² × 7¹ × 967¹

Step-3: Factors of 27069

List of positive integer factors of 27069 that divides 27069 without a remainder.

1, 3, 7, 21, 1289, 3867, 9023

Step-4: Factors of 27076

List of positive integer factors of 27076 that divides 27069 without a remainder.

1, 2, 4, 7, 14, 28, 967, 1934, 3868, 6769, 13538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27069 and 27076. The biggest common factor number is the GCF number.
So the greatest common factor 27069 and 27076 is 7.

Also check out the Least Common Multiple of 27069 and 27076