What is the Greatest Common Factor of 8825 and 8832?

Greatest common factor (GCF) of 8825 and 8832 is 1.

GCF(8825,8832) = 1

We will now calculate the prime factors of 8825 and 8832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8825 and 8832.

How to find the GCF of 8825 and 8832?

We will first find the prime factorization of 8825 and 8832. After we will calculate the factors of 8825 and 8832 and find the biggest common factor number .

Step-1: Prime Factorization of 8825

Prime factors of 8825 are 5, 353. Prime factorization of 8825 in exponential form is:

8825 = 5² × 353¹

Step-2: Prime Factorization of 8832

Prime factors of 8832 are 2, 3, 23. Prime factorization of 8832 in exponential form is:

8832 = 2⁷ × 3¹ × 23¹

Step-3: Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1, 5, 25, 353, 1765

Step-4: Factors of 8832

List of positive integer factors of 8832 that divides 8825 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8825 and 8832. The biggest common factor number is the GCF number.
So the greatest common factor 8825 and 8832 is 1.

Also check out the Least Common Multiple of 8825 and 8832