What is the Greatest Common Factor of 3534 and 3540?

Greatest common factor (GCF) of 3534 and 3540 is 6.

GCF(3534,3540) = 6

We will now calculate the prime factors of 3534 and 3540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3534 and 3540.

How to find the GCF of 3534 and 3540?

We will first find the prime factorization of 3534 and 3540. After we will calculate the factors of 3534 and 3540 and find the biggest common factor number .

Step-1: Prime Factorization of 3534

Prime factors of 3534 are 2, 3, 19, 31. Prime factorization of 3534 in exponential form is:

3534 = 2¹ × 3¹ × 19¹ × 31¹

Step-2: 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-3: Factors of 3534

List of positive integer factors of 3534 that divides 3534 without a remainder.

1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767

Step-4: Factors of 3540

List of positive integer factors of 3540 that divides 3534 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3534 and 3540. The biggest common factor number is the GCF number.
So the greatest common factor 3534 and 3540 is 6.

Also check out the Least Common Multiple of 3534 and 3540