What is the Greatest Common Factor of 5546 and 5562?

Greatest common factor (GCF) of 5546 and 5562 is 2.

GCF(5546,5562) = 2

We will now calculate the prime factors of 5546 and 5562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5546 and 5562.

How to find the GCF of 5546 and 5562?

We will first find the prime factorization of 5546 and 5562. After we will calculate the factors of 5546 and 5562 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5562

Prime factors of 5562 are 2, 3, 103. Prime factorization of 5562 in exponential form is:

5562 = 2¹ × 3³ × 103¹

Step-3: Factors of 5546

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

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

Step-4: Factors of 5562

List of positive integer factors of 5562 that divides 5546 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5546 and 5562. The biggest common factor number is the GCF number.
So the greatest common factor 5546 and 5562 is 2.

Also check out the Least Common Multiple of 5546 and 5562