What is the Greatest Common Factor of 87381 and 87387?

Greatest common factor (GCF) of 87381 and 87387 is 3.

GCF(87381,87387) = 3

We will now calculate the prime factors of 87381 and 87387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87381 and 87387.

How to find the GCF of 87381 and 87387?

We will first find the prime factorization of 87381 and 87387. After we will calculate the factors of 87381 and 87387 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 87387

Prime factors of 87387 are 3, 29129. Prime factorization of 87387 in exponential form is:

87387 = 3¹ × 29129¹

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 87387

List of positive integer factors of 87387 that divides 87381 without a remainder.

1, 3, 29129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87381 and 87387. The biggest common factor number is the GCF number.
So the greatest common factor 87381 and 87387 is 3.

Also check out the Least Common Multiple of 87381 and 87387