What is the Greatest Common Factor of 87567 and 87576?

Greatest common factor (GCF) of 87567 and 87576 is 3.

GCF(87567,87576) = 3

We will now calculate the prime factors of 87567 and 87576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87567 and 87576.

How to find the GCF of 87567 and 87576?

We will first find the prime factorization of 87567 and 87576. After we will calculate the factors of 87567 and 87576 and find the biggest common factor number .

Step-1: Prime Factorization of 87567

Prime factors of 87567 are 3, 17, 101. Prime factorization of 87567 in exponential form is:

87567 = 3¹ × 17² × 101¹

Step-2: Prime Factorization of 87576

Prime factors of 87576 are 2, 3, 41, 89. Prime factorization of 87576 in exponential form is:

87576 = 2³ × 3¹ × 41¹ × 89¹

Step-3: Factors of 87567

List of positive integer factors of 87567 that divides 87567 without a remainder.

1, 3, 17, 51, 101, 289, 303, 867, 1717, 5151, 29189

Step-4: Factors of 87576

List of positive integer factors of 87576 that divides 87567 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 89, 123, 164, 178, 246, 267, 328, 356, 492, 534, 712, 984, 1068, 2136, 3649, 7298, 10947, 14596, 21894, 29192, 43788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87567 and 87576. The biggest common factor number is the GCF number.
So the greatest common factor 87567 and 87576 is 3.

Also check out the Least Common Multiple of 87567 and 87576