What is the Greatest Common Factor of 55409 and 55426?

Greatest common factor (GCF) of 55409 and 55426 is 1.

GCF(55409,55426) = 1

We will now calculate the prime factors of 55409 and 55426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55409 and 55426.

How to find the GCF of 55409 and 55426?

We will first find the prime factorization of 55409 and 55426. After we will calculate the factors of 55409 and 55426 and find the biggest common factor number .

Step-1: Prime Factorization of 55409

Prime factors of 55409 are 67, 827. Prime factorization of 55409 in exponential form is:

55409 = 67¹ × 827¹

Step-2: Prime Factorization of 55426

Prime factors of 55426 are 2, 7, 37, 107. Prime factorization of 55426 in exponential form is:

55426 = 2¹ × 7¹ × 37¹ × 107¹

Step-3: Factors of 55409

List of positive integer factors of 55409 that divides 55409 without a remainder.

1, 67, 827

Step-4: Factors of 55426

List of positive integer factors of 55426 that divides 55409 without a remainder.

1, 2, 7, 14, 37, 74, 107, 214, 259, 518, 749, 1498, 3959, 7918, 27713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55409 and 55426. The biggest common factor number is the GCF number.
So the greatest common factor 55409 and 55426 is 1.

Also check out the Least Common Multiple of 55409 and 55426