What is the Greatest Common Factor of 87420 and 87438?

Greatest common factor (GCF) of 87420 and 87438 is 6.

GCF(87420,87438) = 6

We will now calculate the prime factors of 87420 and 87438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87420 and 87438.

How to find the GCF of 87420 and 87438?

We will first find the prime factorization of 87420 and 87438. After we will calculate the factors of 87420 and 87438 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 87438

Prime factors of 87438 are 2, 3, 13, 19, 59. Prime factorization of 87438 in exponential form is:

87438 = 2¹ × 3¹ × 13¹ × 19¹ × 59¹

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 87438

List of positive integer factors of 87438 that divides 87420 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 59, 78, 114, 118, 177, 247, 354, 494, 741, 767, 1121, 1482, 1534, 2242, 2301, 3363, 4602, 6726, 14573, 29146, 43719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87420 and 87438. The biggest common factor number is the GCF number.
So the greatest common factor 87420 and 87438 is 6.

Also check out the Least Common Multiple of 87420 and 87438