What is the Greatest Common Factor of 87021 and 87032?

Greatest common factor (GCF) of 87021 and 87032 is 11.

GCF(87021,87032) = 11

We will now calculate the prime factors of 87021 and 87032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87021 and 87032.

How to find the GCF of 87021 and 87032?

We will first find the prime factorization of 87021 and 87032. After we will calculate the factors of 87021 and 87032 and find the biggest common factor number .

Step-1: Prime Factorization of 87021

Prime factors of 87021 are 3, 11, 293. Prime factorization of 87021 in exponential form is:

87021 = 3³ × 11¹ × 293¹

Step-2: Prime Factorization of 87032

Prime factors of 87032 are 2, 11, 23, 43. Prime factorization of 87032 in exponential form is:

87032 = 2³ × 11¹ × 23¹ × 43¹

Step-3: Factors of 87021

List of positive integer factors of 87021 that divides 87021 without a remainder.

1, 3, 9, 11, 27, 33, 99, 293, 297, 879, 2637, 3223, 7911, 9669, 29007

Step-4: Factors of 87032

List of positive integer factors of 87032 that divides 87021 without a remainder.

1, 2, 4, 8, 11, 22, 23, 43, 44, 46, 86, 88, 92, 172, 184, 253, 344, 473, 506, 946, 989, 1012, 1892, 1978, 2024, 3784, 3956, 7912, 10879, 21758, 43516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87021 and 87032. The biggest common factor number is the GCF number.
So the greatest common factor 87021 and 87032 is 11.

Also check out the Least Common Multiple of 87021 and 87032