What is the Greatest Common Factor of 3472 and 3480?

Greatest common factor (GCF) of 3472 and 3480 is 8.

GCF(3472,3480) = 8

We will now calculate the prime factors of 3472 and 3480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3472 and 3480.

How to find the GCF of 3472 and 3480?

We will first find the prime factorization of 3472 and 3480. After we will calculate the factors of 3472 and 3480 and find the biggest common factor number .

Step-1: Prime Factorization of 3472

Prime factors of 3472 are 2, 7, 31. Prime factorization of 3472 in exponential form is:

3472 = 2⁴ × 7¹ × 31¹

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 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736

Step-4: Factors of 3480

List of positive integer factors of 3480 that divides 3472 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 3472 and 3480. The biggest common factor number is the GCF number.
So the greatest common factor 3472 and 3480 is 8.

Also check out the Least Common Multiple of 3472 and 3480