What is the Greatest Common Factor of 87420 and 87432?

Greatest common factor (GCF) of 87420 and 87432 is 12.

GCF(87420,87432) = 12

We will now calculate the prime factors of 87420 and 87432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87420 and 87432.

How to find the GCF of 87420 and 87432?

We will first find the prime factorization of 87420 and 87432. After we will calculate the factors of 87420 and 87432 and find the biggest common factor number .

Step-1: Prime Factorization of 87420

Prime factors of 87420 are 2, 3, 5, 31, 47. Prime factorization of 87420 in exponential form is:

87420 = 2² × 3¹ × 5¹ × 31¹ × 47¹

Step-2: Prime Factorization of 87432

Prime factors of 87432 are 2, 3, 3643. Prime factorization of 87432 in exponential form is:

87432 = 2³ × 3¹ × 3643¹

Step-3: Factors of 87420

List of positive integer factors of 87420 that divides 87420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 47, 60, 62, 93, 94, 124, 141, 155, 186, 188, 235, 282, 310, 372, 465, 470, 564, 620, 705, 930, 940, 1410, 1457, 1860, 2820, 2914, 4371, 5828, 7285, 8742, 14570, 17484, 21855, 29140, 43710

Step-4: Factors of 87432

List of positive integer factors of 87432 that divides 87420 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3643, 7286, 10929, 14572, 21858, 29144, 43716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87420 and 87432. The biggest common factor number is the GCF number.
So the greatest common factor 87420 and 87432 is 12.

Also check out the Least Common Multiple of 87420 and 87432