What is the Greatest Common Factor of 3520 and 3538?

Greatest common factor (GCF) of 3520 and 3538 is 2.

GCF(3520,3538) = 2

We will now calculate the prime factors of 3520 and 3538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3520 and 3538.

How to find the GCF of 3520 and 3538?

We will first find the prime factorization of 3520 and 3538. After we will calculate the factors of 3520 and 3538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3538

Prime factors of 3538 are 2, 29, 61. Prime factorization of 3538 in exponential form is:

3538 = 2¹ × 29¹ × 61¹

Step-3: Factors of 3520

List of positive integer factors of 3520 that divides 3520 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

Step-4: Factors of 3538

List of positive integer factors of 3538 that divides 3520 without a remainder.

1, 2, 29, 58, 61, 122, 1769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3520 and 3538. The biggest common factor number is the GCF number.
So the greatest common factor 3520 and 3538 is 2.

Also check out the Least Common Multiple of 3520 and 3538