What is the Greatest Common Factor of 3542 and 3550?

Greatest common factor (GCF) of 3542 and 3550 is 2.

GCF(3542,3550) = 2

We will now calculate the prime factors of 3542 and 3550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3542 and 3550.

How to find the GCF of 3542 and 3550?

We will first find the prime factorization of 3542 and 3550. After we will calculate the factors of 3542 and 3550 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 3550

Prime factors of 3550 are 2, 5, 71. Prime factorization of 3550 in exponential form is:

3550 = 2¹ × 5² × 71¹

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 3550

List of positive integer factors of 3550 that divides 3542 without a remainder.

1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3542 and 3550. The biggest common factor number is the GCF number.
So the greatest common factor 3542 and 3550 is 2.

Also check out the Least Common Multiple of 3542 and 3550