What is the Greatest Common Factor of 25550 and 25564?

Greatest common factor (GCF) of 25550 and 25564 is 14.

GCF(25550,25564) = 14

We will now calculate the prime factors of 25550 and 25564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25550 and 25564.

How to find the GCF of 25550 and 25564?

We will first find the prime factorization of 25550 and 25564. After we will calculate the factors of 25550 and 25564 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 25564

Prime factors of 25564 are 2, 7, 11, 83. Prime factorization of 25564 in exponential form is:

25564 = 2² × 7¹ × 11¹ × 83¹

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 25564

List of positive integer factors of 25564 that divides 25550 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 83, 154, 166, 308, 332, 581, 913, 1162, 1826, 2324, 3652, 6391, 12782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25550 and 25564. The biggest common factor number is the GCF number.
So the greatest common factor 25550 and 25564 is 14.

Also check out the Least Common Multiple of 25550 and 25564