What is the Greatest Common Factor of 87420 and 87435?

Greatest common factor (GCF) of 87420 and 87435 is 15.

GCF(87420,87435) = 15

We will now calculate the prime factors of 87420 and 87435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87420 and 87435.

How to find the GCF of 87420 and 87435?

We will first find the prime factorization of 87420 and 87435. After we will calculate the factors of 87420 and 87435 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 87435

Prime factors of 87435 are 3, 5, 29, 67. Prime factorization of 87435 in exponential form is:

87435 = 3² × 5¹ × 29¹ × 67¹

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 87435

List of positive integer factors of 87435 that divides 87420 without a remainder.

1, 3, 5, 9, 15, 29, 45, 67, 87, 145, 201, 261, 335, 435, 603, 1005, 1305, 1943, 3015, 5829, 9715, 17487, 29145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87420 and 87435. The biggest common factor number is the GCF number.
So the greatest common factor 87420 and 87435 is 15.

Also check out the Least Common Multiple of 87420 and 87435