What is the Greatest Common Factor of 31460 and 31469?

Greatest common factor (GCF) of 31460 and 31469 is 1.

GCF(31460,31469) = 1

We will now calculate the prime factors of 31460 and 31469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31460 and 31469.

How to find the GCF of 31460 and 31469?

We will first find the prime factorization of 31460 and 31469. After we will calculate the factors of 31460 and 31469 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 31469

Prime factors of 31469 are 31469. Prime factorization of 31469 in exponential form is:

31469 = 31469¹

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 31469

List of positive integer factors of 31469 that divides 31460 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31460 and 31469. The biggest common factor number is the GCF number.
So the greatest common factor 31460 and 31469 is 1.

Also check out the Least Common Multiple of 31460 and 31469