What is the Greatest Common Factor of 87420 and 87434?

Greatest common factor (GCF) of 87420 and 87434 is 2.

GCF(87420,87434) = 2

We will now calculate the prime factors of 87420 and 87434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87420 and 87434.

How to find the GCF of 87420 and 87434?

We will first find the prime factorization of 87420 and 87434. After we will calculate the factors of 87420 and 87434 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 87434

Prime factors of 87434 are 2, 43717. Prime factorization of 87434 in exponential form is:

87434 = 2¹ × 43717¹

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 87434

List of positive integer factors of 87434 that divides 87420 without a remainder.

1, 2, 43717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87420 and 87434. The biggest common factor number is the GCF number.
So the greatest common factor 87420 and 87434 is 2.

Also check out the Least Common Multiple of 87420 and 87434