What is the Greatest Common Factor of 88808 and 88825?

Greatest common factor (GCF) of 88808 and 88825 is 17.

GCF(88808,88825) = 17

We will now calculate the prime factors of 88808 and 88825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88808 and 88825.

How to find the GCF of 88808 and 88825?

We will first find the prime factorization of 88808 and 88825. After we will calculate the factors of 88808 and 88825 and find the biggest common factor number .

Step-1: Prime Factorization of 88808

Prime factors of 88808 are 2, 17, 653. Prime factorization of 88808 in exponential form is:

88808 = 2³ × 17¹ × 653¹

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 88808

List of positive integer factors of 88808 that divides 88808 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 653, 1306, 2612, 5224, 11101, 22202, 44404

Step-4: Factors of 88825

List of positive integer factors of 88825 that divides 88808 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 88808 and 88825. The biggest common factor number is the GCF number.
So the greatest common factor 88808 and 88825 is 17.

Also check out the Least Common Multiple of 88808 and 88825