What is the Greatest Common Factor of 89011 and 89024?

Greatest common factor (GCF) of 89011 and 89024 is 13.

GCF(89011,89024) = 13

We will now calculate the prime factors of 89011 and 89024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89011 and 89024.

How to find the GCF of 89011 and 89024?

We will first find the prime factorization of 89011 and 89024. After we will calculate the factors of 89011 and 89024 and find the biggest common factor number .

Step-1: Prime Factorization of 89011

Prime factors of 89011 are 13, 41, 167. Prime factorization of 89011 in exponential form is:

89011 = 13¹ × 41¹ × 167¹

Step-2: Prime Factorization of 89024

Prime factors of 89024 are 2, 13, 107. Prime factorization of 89024 in exponential form is:

89024 = 2⁶ × 13¹ × 107¹

Step-3: Factors of 89011

List of positive integer factors of 89011 that divides 89011 without a remainder.

1, 13, 41, 167, 533, 2171, 6847

Step-4: Factors of 89024

List of positive integer factors of 89024 that divides 89011 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 107, 208, 214, 416, 428, 832, 856, 1391, 1712, 2782, 3424, 5564, 6848, 11128, 22256, 44512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89011 and 89024. The biggest common factor number is the GCF number.
So the greatest common factor 89011 and 89024 is 13.

Also check out the Least Common Multiple of 89011 and 89024