What is the Greatest Common Factor of 3542 and 3546?

Greatest common factor (GCF) of 3542 and 3546 is 2.

GCF(3542,3546) = 2

We will now calculate the prime factors of 3542 and 3546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3542 and 3546.

How to find the GCF of 3542 and 3546?

We will first find the prime factorization of 3542 and 3546. After we will calculate the factors of 3542 and 3546 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 3546

Prime factors of 3546 are 2, 3, 197. Prime factorization of 3546 in exponential form is:

3546 = 2¹ × 3² × 197¹

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 3546

List of positive integer factors of 3546 that divides 3542 without a remainder.

1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3542 and 3546. The biggest common factor number is the GCF number.
So the greatest common factor 3542 and 3546 is 2.

Also check out the Least Common Multiple of 3542 and 3546