What is the Greatest Common Factor of 87420 and 87426?

Greatest common factor (GCF) of 87420 and 87426 is 6.

GCF(87420,87426) = 6

We will now calculate the prime factors of 87420 and 87426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87420 and 87426.

How to find the GCF of 87420 and 87426?

We will first find the prime factorization of 87420 and 87426. After we will calculate the factors of 87420 and 87426 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 87426

Prime factors of 87426 are 2, 3, 1619. Prime factorization of 87426 in exponential form is:

87426 = 2¹ × 3³ × 1619¹

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 87426

List of positive integer factors of 87426 that divides 87420 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1619, 3238, 4857, 9714, 14571, 29142, 43713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87420 and 87426. The biggest common factor number is the GCF number.
So the greatest common factor 87420 and 87426 is 6.

Also check out the Least Common Multiple of 87420 and 87426