What is the Greatest Common Factor of 3510 and 3520?

Greatest common factor (GCF) of 3510 and 3520 is 10.

GCF(3510,3520) = 10

We will now calculate the prime factors of 3510 and 3520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3510 and 3520.

How to find the GCF of 3510 and 3520?

We will first find the prime factorization of 3510 and 3520. After we will calculate the factors of 3510 and 3520 and find the biggest common factor number .

Step-1: Prime Factorization of 3510

Prime factors of 3510 are 2, 3, 5, 13. Prime factorization of 3510 in exponential form is:

3510 = 2¹ × 3³ × 5¹ × 13¹

Step-2: Prime Factorization of 3520

Prime factors of 3520 are 2, 5, 11. Prime factorization of 3520 in exponential form is:

3520 = 2⁶ × 5¹ × 11¹

Step-3: Factors of 3510

List of positive integer factors of 3510 that divides 3510 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755

Step-4: Factors of 3520

List of positive integer factors of 3520 that divides 3510 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3510 and 3520. The biggest common factor number is the GCF number.
So the greatest common factor 3510 and 3520 is 10.

Also check out the Least Common Multiple of 3510 and 3520