What is the Greatest Common Factor of 3460 and 3480?

Greatest common factor (GCF) of 3460 and 3480 is 20.

GCF(3460,3480) = 20

We will now calculate the prime factors of 3460 and 3480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3460 and 3480.

How to find the GCF of 3460 and 3480?

We will first find the prime factorization of 3460 and 3480. After we will calculate the factors of 3460 and 3480 and find the biggest common factor number .

Step-1: Prime Factorization of 3460

Prime factors of 3460 are 2, 5, 173. Prime factorization of 3460 in exponential form is:

3460 = 2² × 5¹ × 173¹

Step-2: 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-3: Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730

Step-4: Factors of 3480

List of positive integer factors of 3480 that divides 3460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3460 and 3480. The biggest common factor number is the GCF number.
So the greatest common factor 3460 and 3480 is 20.

Also check out the Least Common Multiple of 3460 and 3480