What is the Greatest Common Factor of 31540 and 31556?

Greatest common factor (GCF) of 31540 and 31556 is 4.

GCF(31540,31556) = 4

We will now calculate the prime factors of 31540 and 31556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31540 and 31556.

How to find the GCF of 31540 and 31556?

We will first find the prime factorization of 31540 and 31556. After we will calculate the factors of 31540 and 31556 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 31556

Prime factors of 31556 are 2, 7, 23. Prime factorization of 31556 in exponential form is:

31556 = 2² × 7³ × 23¹

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 31556

List of positive integer factors of 31556 that divides 31540 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 343, 644, 686, 1127, 1372, 2254, 4508, 7889, 15778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31540 and 31556. The biggest common factor number is the GCF number.
So the greatest common factor 31540 and 31556 is 4.

Also check out the Least Common Multiple of 31540 and 31556