What is the Greatest Common Factor of 5540 and 5546?

Greatest common factor (GCF) of 5540 and 5546 is 2.

GCF(5540,5546) = 2

We will now calculate the prime factors of 5540 and 5546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5540 and 5546.

How to find the GCF of 5540 and 5546?

We will first find the prime factorization of 5540 and 5546. After we will calculate the factors of 5540 and 5546 and find the biggest common factor number .

Step-1: Prime Factorization of 5540

Prime factors of 5540 are 2, 5, 277. Prime factorization of 5540 in exponential form is:

5540 = 2² × 5¹ × 277¹

Step-2: Prime Factorization of 5546

Prime factors of 5546 are 2, 47, 59. Prime factorization of 5546 in exponential form is:

5546 = 2¹ × 47¹ × 59¹

Step-3: Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770

Step-4: Factors of 5546

List of positive integer factors of 5546 that divides 5540 without a remainder.

1, 2, 47, 59, 94, 118, 2773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5540 and 5546. The biggest common factor number is the GCF number.
So the greatest common factor 5540 and 5546 is 2.

Also check out the Least Common Multiple of 5540 and 5546