What is the Greatest Common Factor of 25550 and 25559?

Greatest common factor (GCF) of 25550 and 25559 is 1.

GCF(25550,25559) = 1

We will now calculate the prime factors of 25550 and 25559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25550 and 25559.

How to find the GCF of 25550 and 25559?

We will first find the prime factorization of 25550 and 25559. After we will calculate the factors of 25550 and 25559 and find the biggest common factor number .

Step-1: Prime Factorization of 25550

Prime factors of 25550 are 2, 5, 7, 73. Prime factorization of 25550 in exponential form is:

25550 = 2¹ × 5² × 7¹ × 73¹

Step-2: Prime Factorization of 25559

Prime factors of 25559 are 61, 419. Prime factorization of 25559 in exponential form is:

25559 = 61¹ × 419¹

Step-3: Factors of 25550

List of positive integer factors of 25550 that divides 25550 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 73, 146, 175, 350, 365, 511, 730, 1022, 1825, 2555, 3650, 5110, 12775

Step-4: Factors of 25559

List of positive integer factors of 25559 that divides 25550 without a remainder.

1, 61, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25550 and 25559. The biggest common factor number is the GCF number.
So the greatest common factor 25550 and 25559 is 1.

Also check out the Least Common Multiple of 25550 and 25559