What is the Greatest Common Factor of 27920 and 27931?

Greatest common factor (GCF) of 27920 and 27931 is 1.

GCF(27920,27931) = 1

We will now calculate the prime factors of 27920 and 27931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27920 and 27931.

How to find the GCF of 27920 and 27931?

We will first find the prime factorization of 27920 and 27931. After we will calculate the factors of 27920 and 27931 and find the biggest common factor number .

Step-1: Prime Factorization of 27920

Prime factors of 27920 are 2, 5, 349. Prime factorization of 27920 in exponential form is:

27920 = 2⁴ × 5¹ × 349¹

Step-2: Prime Factorization of 27931

Prime factors of 27931 are 17, 31, 53. Prime factorization of 27931 in exponential form is:

27931 = 17¹ × 31¹ × 53¹

Step-3: Factors of 27920

List of positive integer factors of 27920 that divides 27920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 349, 698, 1396, 1745, 2792, 3490, 5584, 6980, 13960

Step-4: Factors of 27931

List of positive integer factors of 27931 that divides 27920 without a remainder.

1, 17, 31, 53, 527, 901, 1643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27920 and 27931. The biggest common factor number is the GCF number.
So the greatest common factor 27920 and 27931 is 1.

Also check out the Least Common Multiple of 27920 and 27931