What is the Greatest Common Factor of 89804 and 89815?

Greatest common factor (GCF) of 89804 and 89815 is 11.

GCF(89804,89815) = 11

We will now calculate the prime factors of 89804 and 89815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89804 and 89815.

How to find the GCF of 89804 and 89815?

We will first find the prime factorization of 89804 and 89815. After we will calculate the factors of 89804 and 89815 and find the biggest common factor number .

Step-1: Prime Factorization of 89804

Prime factors of 89804 are 2, 11, 13, 157. Prime factorization of 89804 in exponential form is:

89804 = 2² × 11¹ × 13¹ × 157¹

Step-2: Prime Factorization of 89815

Prime factors of 89815 are 5, 11, 23, 71. Prime factorization of 89815 in exponential form is:

89815 = 5¹ × 11¹ × 23¹ × 71¹

Step-3: Factors of 89804

List of positive integer factors of 89804 that divides 89804 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 157, 286, 314, 572, 628, 1727, 2041, 3454, 4082, 6908, 8164, 22451, 44902

Step-4: Factors of 89815

List of positive integer factors of 89815 that divides 89804 without a remainder.

1, 5, 11, 23, 55, 71, 115, 253, 355, 781, 1265, 1633, 3905, 8165, 17963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89804 and 89815. The biggest common factor number is the GCF number.
So the greatest common factor 89804 and 89815 is 11.

Also check out the Least Common Multiple of 89804 and 89815