What is the Greatest Common Factor of 31540 and 31555?

Greatest common factor (GCF) of 31540 and 31555 is 5.

GCF(31540,31555) = 5

We will now calculate the prime factors of 31540 and 31555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31540 and 31555.

How to find the GCF of 31540 and 31555?

We will first find the prime factorization of 31540 and 31555. After we will calculate the factors of 31540 and 31555 and find the biggest common factor number .

Step-1: Prime Factorization of 31540

Prime factors of 31540 are 2, 5, 19, 83. Prime factorization of 31540 in exponential form is:

31540 = 2² × 5¹ × 19¹ × 83¹

Step-2: Prime Factorization of 31555

Prime factors of 31555 are 5, 6311. Prime factorization of 31555 in exponential form is:

31555 = 5¹ × 6311¹

Step-3: Factors of 31540

List of positive integer factors of 31540 that divides 31540 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 83, 95, 166, 190, 332, 380, 415, 830, 1577, 1660, 3154, 6308, 7885, 15770

Step-4: Factors of 31555

List of positive integer factors of 31555 that divides 31540 without a remainder.

1, 5, 6311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31540 and 31555. The biggest common factor number is the GCF number.
So the greatest common factor 31540 and 31555 is 5.

Also check out the Least Common Multiple of 31540 and 31555