What is the Greatest Common Factor of 3538 and 3542?

Greatest common factor (GCF) of 3538 and 3542 is 2.

GCF(3538,3542) = 2

We will now calculate the prime factors of 3538 and 3542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3538 and 3542.

How to find the GCF of 3538 and 3542?

We will first find the prime factorization of 3538 and 3542. After we will calculate the factors of 3538 and 3542 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3542

Prime factors of 3542 are 2, 7, 11, 23. Prime factorization of 3542 in exponential form is:

3542 = 2¹ × 7¹ × 11¹ × 23¹

Step-3: Factors of 3538

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

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

Step-4: Factors of 3542

List of positive integer factors of 3542 that divides 3538 without a remainder.

1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3538 and 3542. The biggest common factor number is the GCF number.
So the greatest common factor 3538 and 3542 is 2.

Also check out the Least Common Multiple of 3538 and 3542