What is the Greatest Common Factor of 55549 and 55562?

Greatest common factor (GCF) of 55549 and 55562 is 13.

GCF(55549,55562) = 13

We will now calculate the prime factors of 55549 and 55562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55549 and 55562.

How to find the GCF of 55549 and 55562?

We will first find the prime factorization of 55549 and 55562. After we will calculate the factors of 55549 and 55562 and find the biggest common factor number .

Step-1: Prime Factorization of 55549

Prime factors of 55549 are 13, 4273. Prime factorization of 55549 in exponential form is:

55549 = 13¹ × 4273¹

Step-2: Prime Factorization of 55562

Prime factors of 55562 are 2, 13, 2137. Prime factorization of 55562 in exponential form is:

55562 = 2¹ × 13¹ × 2137¹

Step-3: Factors of 55549

List of positive integer factors of 55549 that divides 55549 without a remainder.

1, 13, 4273

Step-4: Factors of 55562

List of positive integer factors of 55562 that divides 55549 without a remainder.

1, 2, 13, 26, 2137, 4274, 27781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55549 and 55562. The biggest common factor number is the GCF number.
So the greatest common factor 55549 and 55562 is 13.

Also check out the Least Common Multiple of 55549 and 55562