What is the Greatest Common Factor of 25550 and 25566?

Greatest common factor (GCF) of 25550 and 25566 is 2.

GCF(25550,25566) = 2

We will now calculate the prime factors of 25550 and 25566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25550 and 25566.

How to find the GCF of 25550 and 25566?

We will first find the prime factorization of 25550 and 25566. After we will calculate the factors of 25550 and 25566 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 25566

Prime factors of 25566 are 2, 3, 4261. Prime factorization of 25566 in exponential form is:

25566 = 2¹ × 3¹ × 4261¹

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 25566

List of positive integer factors of 25566 that divides 25550 without a remainder.

1, 2, 3, 6, 4261, 8522, 12783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25550 and 25566. The biggest common factor number is the GCF number.
So the greatest common factor 25550 and 25566 is 2.

Also check out the Least Common Multiple of 25550 and 25566