What is the Greatest Common Factor of 87864 and 87869?

Greatest common factor (GCF) of 87864 and 87869 is 1.

GCF(87864,87869) = 1

We will now calculate the prime factors of 87864 and 87869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87864 and 87869.

How to find the GCF of 87864 and 87869?

We will first find the prime factorization of 87864 and 87869. After we will calculate the factors of 87864 and 87869 and find the biggest common factor number .

Step-1: Prime Factorization of 87864

Prime factors of 87864 are 2, 3, 7, 523. Prime factorization of 87864 in exponential form is:

87864 = 2³ × 3¹ × 7¹ × 523¹

Step-2: Prime Factorization of 87869

Prime factors of 87869 are 87869. Prime factorization of 87869 in exponential form is:

87869 = 87869¹

Step-3: Factors of 87864

List of positive integer factors of 87864 that divides 87864 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 523, 1046, 1569, 2092, 3138, 3661, 4184, 6276, 7322, 10983, 12552, 14644, 21966, 29288, 43932

Step-4: Factors of 87869

List of positive integer factors of 87869 that divides 87864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87864 and 87869. The biggest common factor number is the GCF number.
So the greatest common factor 87864 and 87869 is 1.

Also check out the Least Common Multiple of 87864 and 87869