What is the Greatest Common Factor of 27960 and 27971?

Greatest common factor (GCF) of 27960 and 27971 is 1.

GCF(27960,27971) = 1

We will now calculate the prime factors of 27960 and 27971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27960 and 27971.

How to find the GCF of 27960 and 27971?

We will first find the prime factorization of 27960 and 27971. After we will calculate the factors of 27960 and 27971 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 27971

Prime factors of 27971 are 83, 337. Prime factorization of 27971 in exponential form is:

27971 = 83¹ × 337¹

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 27971

List of positive integer factors of 27971 that divides 27960 without a remainder.

1, 83, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27960 and 27971. The biggest common factor number is the GCF number.
So the greatest common factor 27960 and 27971 is 1.

Also check out the Least Common Multiple of 27960 and 27971