What is the Greatest Common Factor of 3540 and 3550?

Greatest common factor (GCF) of 3540 and 3550 is 10.

GCF(3540,3550) = 10

We will now calculate the prime factors of 3540 and 3550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3540 and 3550.

How to find the GCF of 3540 and 3550?

We will first find the prime factorization of 3540 and 3550. After we will calculate the factors of 3540 and 3550 and find the biggest common factor number .

Step-1: Prime Factorization of 3540

Prime factors of 3540 are 2, 3, 5, 59. Prime factorization of 3540 in exponential form is:

3540 = 2² × 3¹ × 5¹ × 59¹

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 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770

Step-4: Factors of 3550

List of positive integer factors of 3550 that divides 3540 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 3540 and 3550. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3550 is 10.

Also check out the Least Common Multiple of 3540 and 3550