What is the Greatest Common Factor of 88825 and 88832?

Greatest common factor (GCF) of 88825 and 88832 is 1.

GCF(88825,88832) = 1

We will now calculate the prime factors of 88825 and 88832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88825 and 88832.

How to find the GCF of 88825 and 88832?

We will first find the prime factorization of 88825 and 88832. After we will calculate the factors of 88825 and 88832 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88832

Prime factors of 88832 are 2, 347. Prime factorization of 88832 in exponential form is:

88832 = 2⁸ × 347¹

Step-3: Factors of 88825

List of positive integer factors of 88825 that divides 88825 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

Step-4: Factors of 88832

List of positive integer factors of 88832 that divides 88825 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 347, 694, 1388, 2776, 5552, 11104, 22208, 44416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88825 and 88832. The biggest common factor number is the GCF number.
So the greatest common factor 88825 and 88832 is 1.

Also check out the Least Common Multiple of 88825 and 88832