What is the Greatest Common Factor of 3542 and 3548?

Greatest common factor (GCF) of 3542 and 3548 is 2.

GCF(3542,3548) = 2

We will now calculate the prime factors of 3542 and 3548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3542 and 3548.

How to find the GCF of 3542 and 3548?

We will first find the prime factorization of 3542 and 3548. After we will calculate the factors of 3542 and 3548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3548

Prime factors of 3548 are 2, 887. Prime factorization of 3548 in exponential form is:

3548 = 2² × 887¹

Step-3: Factors of 3542

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

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

Step-4: Factors of 3548

List of positive integer factors of 3548 that divides 3542 without a remainder.

1, 2, 4, 887, 1774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3542 and 3548. The biggest common factor number is the GCF number.
So the greatest common factor 3542 and 3548 is 2.

Also check out the Least Common Multiple of 3542 and 3548