What is the Greatest Common Factor of 87039 and 87048?

Greatest common factor (GCF) of 87039 and 87048 is 9.

GCF(87039,87048) = 9

We will now calculate the prime factors of 87039 and 87048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87039 and 87048.

How to find the GCF of 87039 and 87048?

We will first find the prime factorization of 87039 and 87048. After we will calculate the factors of 87039 and 87048 and find the biggest common factor number .

Step-1: Prime Factorization of 87039

Prime factors of 87039 are 3, 19, 509. Prime factorization of 87039 in exponential form is:

87039 = 3² × 19¹ × 509¹

Step-2: Prime Factorization of 87048

Prime factors of 87048 are 2, 3, 13, 31. Prime factorization of 87048 in exponential form is:

87048 = 2³ × 3³ × 13¹ × 31¹

Step-3: Factors of 87039

List of positive integer factors of 87039 that divides 87039 without a remainder.

1, 3, 9, 19, 57, 171, 509, 1527, 4581, 9671, 29013

Step-4: Factors of 87048

List of positive integer factors of 87048 that divides 87039 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 31, 36, 39, 52, 54, 62, 72, 78, 93, 104, 108, 117, 124, 156, 186, 216, 234, 248, 279, 312, 351, 372, 403, 468, 558, 702, 744, 806, 837, 936, 1116, 1209, 1404, 1612, 1674, 2232, 2418, 2808, 3224, 3348, 3627, 4836, 6696, 7254, 9672, 10881, 14508, 21762, 29016, 43524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87039 and 87048. The biggest common factor number is the GCF number.
So the greatest common factor 87039 and 87048 is 9.

Also check out the Least Common Multiple of 87039 and 87048