What is the Greatest Common Factor of 87864 and 87870?

Greatest common factor (GCF) of 87864 and 87870 is 6.

GCF(87864,87870) = 6

We will now calculate the prime factors of 87864 and 87870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87864 and 87870.

How to find the GCF of 87864 and 87870?

We will first find the prime factorization of 87864 and 87870. After we will calculate the factors of 87864 and 87870 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 87870

Prime factors of 87870 are 2, 3, 5, 29, 101. Prime factorization of 87870 in exponential form is:

87870 = 2¹ × 3¹ × 5¹ × 29¹ × 101¹

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 87870

List of positive integer factors of 87870 that divides 87864 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 101, 145, 174, 202, 290, 303, 435, 505, 606, 870, 1010, 1515, 2929, 3030, 5858, 8787, 14645, 17574, 29290, 43935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87864 and 87870. The biggest common factor number is the GCF number.
So the greatest common factor 87864 and 87870 is 6.

Also check out the Least Common Multiple of 87864 and 87870