What is the Greatest Common Factor of 3531 and 3542?

Greatest common factor (GCF) of 3531 and 3542 is 11.

GCF(3531,3542) = 11

We will now calculate the prime factors of 3531 and 3542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3531 and 3542.

How to find the GCF of 3531 and 3542?

We will first find the prime factorization of 3531 and 3542. After we will calculate the factors of 3531 and 3542 and find the biggest common factor number .

Step-1: Prime Factorization of 3531

Prime factors of 3531 are 3, 11, 107. Prime factorization of 3531 in exponential form is:

3531 = 3¹ × 11¹ × 107¹

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 3531

List of positive integer factors of 3531 that divides 3531 without a remainder.

1, 3, 11, 33, 107, 321, 1177

Step-4: Factors of 3542

List of positive integer factors of 3542 that divides 3531 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 3531 and 3542. The biggest common factor number is the GCF number.
So the greatest common factor 3531 and 3542 is 11.

Also check out the Least Common Multiple of 3531 and 3542