What is the Greatest Common Factor of 87420 and 87425?

Greatest common factor (GCF) of 87420 and 87425 is 5.

GCF(87420,87425) = 5

We will now calculate the prime factors of 87420 and 87425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87420 and 87425.

How to find the GCF of 87420 and 87425?

We will first find the prime factorization of 87420 and 87425. After we will calculate the factors of 87420 and 87425 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 87425

Prime factors of 87425 are 5, 13, 269. Prime factorization of 87425 in exponential form is:

87425 = 5² × 13¹ × 269¹

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 87425

List of positive integer factors of 87425 that divides 87420 without a remainder.

1, 5, 13, 25, 65, 269, 325, 1345, 3497, 6725, 17485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87420 and 87425. The biggest common factor number is the GCF number.
So the greatest common factor 87420 and 87425 is 5.

Also check out the Least Common Multiple of 87420 and 87425