What is the Greatest Common Factor of 31470 and 31490?

Greatest common factor (GCF) of 31470 and 31490 is 10.

GCF(31470,31490) = 10

We will now calculate the prime factors of 31470 and 31490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31470 and 31490.

How to find the GCF of 31470 and 31490?

We will first find the prime factorization of 31470 and 31490. After we will calculate the factors of 31470 and 31490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31490

Prime factors of 31490 are 2, 5, 47, 67. Prime factorization of 31490 in exponential form is:

31490 = 2¹ × 5¹ × 47¹ × 67¹

Step-3: Factors of 31470

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

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

Step-4: Factors of 31490

List of positive integer factors of 31490 that divides 31470 without a remainder.

1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31470 and 31490. The biggest common factor number is the GCF number.
So the greatest common factor 31470 and 31490 is 10.

Also check out the Least Common Multiple of 31470 and 31490