What is the Greatest Common Factor of 27960 and 27969?

Greatest common factor (GCF) of 27960 and 27969 is 3.

GCF(27960,27969) = 3

We will now calculate the prime factors of 27960 and 27969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27960 and 27969.

How to find the GCF of 27960 and 27969?

We will first find the prime factorization of 27960 and 27969. After we will calculate the factors of 27960 and 27969 and find the biggest common factor number .

Step-1: Prime Factorization of 27960

Prime factors of 27960 are 2, 3, 5, 233. Prime factorization of 27960 in exponential form is:

27960 = 2³ × 3¹ × 5¹ × 233¹

Step-2: Prime Factorization of 27969

Prime factors of 27969 are 3, 9323. Prime factorization of 27969 in exponential form is:

27969 = 3¹ × 9323¹

Step-3: Factors of 27960

List of positive integer factors of 27960 that divides 27960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 233, 466, 699, 932, 1165, 1398, 1864, 2330, 2796, 3495, 4660, 5592, 6990, 9320, 13980

Step-4: Factors of 27969

List of positive integer factors of 27969 that divides 27960 without a remainder.

1, 3, 9323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27960 and 27969. The biggest common factor number is the GCF number.
So the greatest common factor 27960 and 27969 is 3.

Also check out the Least Common Multiple of 27960 and 27969