What is the Greatest Common Factor of 88825 and 88844?

Greatest common factor (GCF) of 88825 and 88844 is 19.

GCF(88825,88844) = 19

We will now calculate the prime factors of 88825 and 88844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88825 and 88844.

How to find the GCF of 88825 and 88844?

We will first find the prime factorization of 88825 and 88844. After we will calculate the factors of 88825 and 88844 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 88844

Prime factors of 88844 are 2, 7, 19, 167. Prime factorization of 88844 in exponential form is:

88844 = 2² × 7¹ × 19¹ × 167¹

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 88844

List of positive integer factors of 88844 that divides 88825 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 167, 266, 334, 532, 668, 1169, 2338, 3173, 4676, 6346, 12692, 22211, 44422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88825 and 88844. The biggest common factor number is the GCF number.
So the greatest common factor 88825 and 88844 is 19.

Also check out the Least Common Multiple of 88825 and 88844