What is the Greatest Common Factor of 87009 and 87022?

Greatest common factor (GCF) of 87009 and 87022 is 13.

GCF(87009,87022) = 13

We will now calculate the prime factors of 87009 and 87022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87009 and 87022.

How to find the GCF of 87009 and 87022?

We will first find the prime factorization of 87009 and 87022. After we will calculate the factors of 87009 and 87022 and find the biggest common factor number .

Step-1: Prime Factorization of 87009

Prime factors of 87009 are 3, 13, 23, 97. Prime factorization of 87009 in exponential form is:

87009 = 3¹ × 13¹ × 23¹ × 97¹

Step-2: Prime Factorization of 87022

Prime factors of 87022 are 2, 13, 3347. Prime factorization of 87022 in exponential form is:

87022 = 2¹ × 13¹ × 3347¹

Step-3: Factors of 87009

List of positive integer factors of 87009 that divides 87009 without a remainder.

1, 3, 13, 23, 39, 69, 97, 291, 299, 897, 1261, 2231, 3783, 6693, 29003

Step-4: Factors of 87022

List of positive integer factors of 87022 that divides 87009 without a remainder.

1, 2, 13, 26, 3347, 6694, 43511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87009 and 87022. The biggest common factor number is the GCF number.
So the greatest common factor 87009 and 87022 is 13.

Also check out the Least Common Multiple of 87009 and 87022