What is the Greatest Common Factor of 31460 and 31471?

Greatest common factor (GCF) of 31460 and 31471 is 11.

GCF(31460,31471) = 11

We will now calculate the prime factors of 31460 and 31471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31460 and 31471.

How to find the GCF of 31460 and 31471?

We will first find the prime factorization of 31460 and 31471. After we will calculate the factors of 31460 and 31471 and find the biggest common factor number .

Step-1: Prime Factorization of 31460

Prime factors of 31460 are 2, 5, 11, 13. Prime factorization of 31460 in exponential form is:

31460 = 2² × 5¹ × 11² × 13¹

Step-2: Prime Factorization of 31471

Prime factors of 31471 are 11, 2861. Prime factorization of 31471 in exponential form is:

31471 = 11¹ × 2861¹

Step-3: Factors of 31460

List of positive integer factors of 31460 that divides 31460 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 121, 130, 143, 220, 242, 260, 286, 484, 572, 605, 715, 1210, 1430, 1573, 2420, 2860, 3146, 6292, 7865, 15730

Step-4: Factors of 31471

List of positive integer factors of 31471 that divides 31460 without a remainder.

1, 11, 2861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31460 and 31471. The biggest common factor number is the GCF number.
So the greatest common factor 31460 and 31471 is 11.

Also check out the Least Common Multiple of 31460 and 31471