What is the Greatest Common Factor of 31460 and 31478?

Greatest common factor (GCF) of 31460 and 31478 is 2.

GCF(31460,31478) = 2

We will now calculate the prime factors of 31460 and 31478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31460 and 31478.

How to find the GCF of 31460 and 31478?

We will first find the prime factorization of 31460 and 31478. After we will calculate the factors of 31460 and 31478 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 31478

Prime factors of 31478 are 2, 15739. Prime factorization of 31478 in exponential form is:

31478 = 2¹ × 15739¹

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 31478

List of positive integer factors of 31478 that divides 31460 without a remainder.

1, 2, 15739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31460 and 31478. The biggest common factor number is the GCF number.
So the greatest common factor 31460 and 31478 is 2.

Also check out the Least Common Multiple of 31460 and 31478