What is the Greatest Common Factor of 87004 and 87023?

Greatest common factor (GCF) of 87004 and 87023 is 1.

GCF(87004,87023) = 1

We will now calculate the prime factors of 87004 and 87023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87004 and 87023.

How to find the GCF of 87004 and 87023?

We will first find the prime factorization of 87004 and 87023. After we will calculate the factors of 87004 and 87023 and find the biggest common factor number .

Step-1: Prime Factorization of 87004

Prime factors of 87004 are 2, 21751. Prime factorization of 87004 in exponential form is:

87004 = 2² × 21751¹

Step-2: Prime Factorization of 87023

Prime factors of 87023 are 17, 5119. Prime factorization of 87023 in exponential form is:

87023 = 17¹ × 5119¹

Step-3: Factors of 87004

List of positive integer factors of 87004 that divides 87004 without a remainder.

1, 2, 4, 21751, 43502

Step-4: Factors of 87023

List of positive integer factors of 87023 that divides 87004 without a remainder.

1, 17, 5119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87004 and 87023. The biggest common factor number is the GCF number.
So the greatest common factor 87004 and 87023 is 1.

Also check out the Least Common Multiple of 87004 and 87023