What is the Greatest Common Factor of 87570 and 87576?

Greatest common factor (GCF) of 87570 and 87576 is 6.

GCF(87570,87576) = 6

We will now calculate the prime factors of 87570 and 87576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87570 and 87576.

How to find the GCF of 87570 and 87576?

We will first find the prime factorization of 87570 and 87576. After we will calculate the factors of 87570 and 87576 and find the biggest common factor number .

Step-1: Prime Factorization of 87570

Prime factors of 87570 are 2, 3, 5, 7, 139. Prime factorization of 87570 in exponential form is:

87570 = 2¹ × 3² × 5¹ × 7¹ × 139¹

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 87570

List of positive integer factors of 87570 that divides 87570 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 139, 210, 278, 315, 417, 630, 695, 834, 973, 1251, 1390, 1946, 2085, 2502, 2919, 4170, 4865, 5838, 6255, 8757, 9730, 12510, 14595, 17514, 29190, 43785

Step-4: Factors of 87576

List of positive integer factors of 87576 that divides 87570 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 87570 and 87576. The biggest common factor number is the GCF number.
So the greatest common factor 87570 and 87576 is 6.

Also check out the Least Common Multiple of 87570 and 87576