What is the Greatest Common Factor of 31460 and 31470?

Greatest common factor (GCF) of 31460 and 31470 is 10.

GCF(31460,31470) = 10

We will now calculate the prime factors of 31460 and 31470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31460 and 31470.

How to find the GCF of 31460 and 31470?

We will first find the prime factorization of 31460 and 31470. After we will calculate the factors of 31460 and 31470 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 31470

Prime factors of 31470 are 2, 3, 5, 1049. Prime factorization of 31470 in exponential form is:

31470 = 2¹ × 3¹ × 5¹ × 1049¹

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 31470

List of positive integer factors of 31470 that divides 31460 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1049, 2098, 3147, 5245, 6294, 10490, 15735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31460 and 31470. The biggest common factor number is the GCF number.
So the greatest common factor 31460 and 31470 is 10.

Also check out the Least Common Multiple of 31460 and 31470