What is the Greatest Common Factor of 3480 and 3490?

Greatest common factor (GCF) of 3480 and 3490 is 10.

GCF(3480,3490) = 10

We will now calculate the prime factors of 3480 and 3490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3480 and 3490.

How to find the GCF of 3480 and 3490?

We will first find the prime factorization of 3480 and 3490. After we will calculate the factors of 3480 and 3490 and find the biggest common factor number .

Step-1: Prime Factorization of 3480

Prime factors of 3480 are 2, 3, 5, 29. Prime factorization of 3480 in exponential form is:

3480 = 2³ × 3¹ × 5¹ × 29¹

Step-2: Prime Factorization of 3490

Prime factors of 3490 are 2, 5, 349. Prime factorization of 3490 in exponential form is:

3490 = 2¹ × 5¹ × 349¹

Step-3: Factors of 3480

List of positive integer factors of 3480 that divides 3480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740

Step-4: Factors of 3490

List of positive integer factors of 3490 that divides 3480 without a remainder.

1, 2, 5, 10, 349, 698, 1745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3480 and 3490. The biggest common factor number is the GCF number.
So the greatest common factor 3480 and 3490 is 10.

Also check out the Least Common Multiple of 3480 and 3490