What is the Greatest Common Factor of 87381 and 87390?

Greatest common factor (GCF) of 87381 and 87390 is 9.

GCF(87381,87390) = 9

We will now calculate the prime factors of 87381 and 87390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87381 and 87390.

How to find the GCF of 87381 and 87390?

We will first find the prime factorization of 87381 and 87390. After we will calculate the factors of 87381 and 87390 and find the biggest common factor number .

Step-1: Prime Factorization of 87381

Prime factors of 87381 are 3, 7, 19, 73. Prime factorization of 87381 in exponential form is:

87381 = 3² × 7¹ × 19¹ × 73¹

Step-2: Prime Factorization of 87390

Prime factors of 87390 are 2, 3, 5, 971. Prime factorization of 87390 in exponential form is:

87390 = 2¹ × 3² × 5¹ × 971¹

Step-3: Factors of 87381

List of positive integer factors of 87381 that divides 87381 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 73, 133, 171, 219, 399, 511, 657, 1197, 1387, 1533, 4161, 4599, 9709, 12483, 29127

Step-4: Factors of 87390

List of positive integer factors of 87390 that divides 87381 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 971, 1942, 2913, 4855, 5826, 8739, 9710, 14565, 17478, 29130, 43695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87381 and 87390. The biggest common factor number is the GCF number.
So the greatest common factor 87381 and 87390 is 9.

Also check out the Least Common Multiple of 87381 and 87390