What is the Greatest Common Factor of 88806 and 88825?

Greatest common factor (GCF) of 88806 and 88825 is 19.

GCF(88806,88825) = 19

We will now calculate the prime factors of 88806 and 88825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88806 and 88825.

How to find the GCF of 88806 and 88825?

We will first find the prime factorization of 88806 and 88825. After we will calculate the factors of 88806 and 88825 and find the biggest common factor number .

Step-1: Prime Factorization of 88806

Prime factors of 88806 are 2, 3, 19, 41. Prime factorization of 88806 in exponential form is:

88806 = 2¹ × 3¹ × 19² × 41¹

Step-2: Prime Factorization of 88825

Prime factors of 88825 are 5, 11, 17, 19. Prime factorization of 88825 in exponential form is:

88825 = 5² × 11¹ × 17¹ × 19¹

Step-3: Factors of 88806

List of positive integer factors of 88806 that divides 88806 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 361, 722, 779, 1083, 1558, 2166, 2337, 4674, 14801, 29602, 44403

Step-4: Factors of 88825

List of positive integer factors of 88825 that divides 88806 without a remainder.

1, 5, 11, 17, 19, 25, 55, 85, 95, 187, 209, 275, 323, 425, 475, 935, 1045, 1615, 3553, 4675, 5225, 8075, 17765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88806 and 88825. The biggest common factor number is the GCF number.
So the greatest common factor 88806 and 88825 is 19.

Also check out the Least Common Multiple of 88806 and 88825