What is the Greatest Common Factor of 31476 and 31491?

Greatest common factor (GCF) of 31476 and 31491 is 3.

GCF(31476,31491) = 3

We will now calculate the prime factors of 31476 and 31491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31476 and 31491.

How to find the GCF of 31476 and 31491?

We will first find the prime factorization of 31476 and 31491. After we will calculate the factors of 31476 and 31491 and find the biggest common factor number .

Step-1: Prime Factorization of 31476

Prime factors of 31476 are 2, 3, 43, 61. Prime factorization of 31476 in exponential form is:

31476 = 2² × 3¹ × 43¹ × 61¹

Step-2: Prime Factorization of 31491

Prime factors of 31491 are 3, 3499. Prime factorization of 31491 in exponential form is:

31491 = 3² × 3499¹

Step-3: Factors of 31476

List of positive integer factors of 31476 that divides 31476 without a remainder.

1, 2, 3, 4, 6, 12, 43, 61, 86, 122, 129, 172, 183, 244, 258, 366, 516, 732, 2623, 5246, 7869, 10492, 15738

Step-4: Factors of 31491

List of positive integer factors of 31491 that divides 31476 without a remainder.

1, 3, 9, 3499, 10497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31476 and 31491. The biggest common factor number is the GCF number.
So the greatest common factor 31476 and 31491 is 3.

Also check out the Least Common Multiple of 31476 and 31491