What is the Greatest Common Factor of 87404 and 87420?

Greatest common factor (GCF) of 87404 and 87420 is 4.

GCF(87404,87420) = 4

We will now calculate the prime factors of 87404 and 87420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87404 and 87420.

How to find the GCF of 87404 and 87420?

We will first find the prime factorization of 87404 and 87420. After we will calculate the factors of 87404 and 87420 and find the biggest common factor number .

Step-1: Prime Factorization of 87404

Prime factors of 87404 are 2, 21851. Prime factorization of 87404 in exponential form is:

87404 = 2² × 21851¹

Step-2: 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-3: Factors of 87404

List of positive integer factors of 87404 that divides 87404 without a remainder.

1, 2, 4, 21851, 43702

Step-4: Factors of 87420

List of positive integer factors of 87420 that divides 87404 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87404 and 87420. The biggest common factor number is the GCF number.
So the greatest common factor 87404 and 87420 is 4.

Also check out the Least Common Multiple of 87404 and 87420