What is the Greatest Common Factor of 3500 and 3520?

Greatest common factor (GCF) of 3500 and 3520 is 20.

GCF(3500,3520) = 20

We will now calculate the prime factors of 3500 and 3520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3500 and 3520.

How to find the GCF of 3500 and 3520?

We will first find the prime factorization of 3500 and 3520. After we will calculate the factors of 3500 and 3520 and find the biggest common factor number .

Step-1: Prime Factorization of 3500

Prime factors of 3500 are 2, 5, 7. Prime factorization of 3500 in exponential form is:

3500 = 2² × 5³ × 7¹

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 3500

List of positive integer factors of 3500 that divides 3500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750

Step-4: Factors of 3520

List of positive integer factors of 3520 that divides 3500 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 3500 and 3520. The biggest common factor number is the GCF number.
So the greatest common factor 3500 and 3520 is 20.

Also check out the Least Common Multiple of 3500 and 3520