What is the Greatest Common Factor of 89870 and 89888?

Greatest common factor (GCF) of 89870 and 89888 is 2.

GCF(89870,89888) = 2

We will now calculate the prime factors of 89870 and 89888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89870 and 89888.

How to find the GCF of 89870 and 89888?

We will first find the prime factorization of 89870 and 89888. After we will calculate the factors of 89870 and 89888 and find the biggest common factor number .

Step-1: Prime Factorization of 89870

Prime factors of 89870 are 2, 5, 11, 19, 43. Prime factorization of 89870 in exponential form is:

89870 = 2¹ × 5¹ × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 89888

Prime factors of 89888 are 2, 53. Prime factorization of 89888 in exponential form is:

89888 = 2⁵ × 53²

Step-3: Factors of 89870

List of positive integer factors of 89870 that divides 89870 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 43, 55, 86, 95, 110, 190, 209, 215, 418, 430, 473, 817, 946, 1045, 1634, 2090, 2365, 4085, 4730, 8170, 8987, 17974, 44935

Step-4: Factors of 89888

List of positive integer factors of 89888 that divides 89870 without a remainder.

1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696, 2809, 5618, 11236, 22472, 44944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89870 and 89888. The biggest common factor number is the GCF number.
So the greatest common factor 89870 and 89888 is 2.

Also check out the Least Common Multiple of 89870 and 89888