What is the Greatest Common Factor of 87409 and 87420?

Greatest common factor (GCF) of 87409 and 87420 is 1.

GCF(87409,87420) = 1

We will now calculate the prime factors of 87409 and 87420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87409 and 87420.

How to find the GCF of 87409 and 87420?

We will first find the prime factorization of 87409 and 87420. After we will calculate the factors of 87409 and 87420 and find the biggest common factor number .

Step-1: Prime Factorization of 87409

Prime factors of 87409 are 7, 12487. Prime factorization of 87409 in exponential form is:

87409 = 7¹ × 12487¹

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 87409

List of positive integer factors of 87409 that divides 87409 without a remainder.

1, 7, 12487

Step-4: Factors of 87420

List of positive integer factors of 87420 that divides 87409 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 87409 and 87420. The biggest common factor number is the GCF number.
So the greatest common factor 87409 and 87420 is 1.

Also check out the Least Common Multiple of 87409 and 87420