What is the Greatest Common Factor of 87381 and 87400?

Greatest common factor (GCF) of 87381 and 87400 is 19.

GCF(87381,87400) = 19

We will now calculate the prime factors of 87381 and 87400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87381 and 87400.

How to find the GCF of 87381 and 87400?

We will first find the prime factorization of 87381 and 87400. After we will calculate the factors of 87381 and 87400 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 87400

Prime factors of 87400 are 2, 5, 19, 23. Prime factorization of 87400 in exponential form is:

87400 = 2³ × 5² × 19¹ × 23¹

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 87400

List of positive integer factors of 87400 that divides 87381 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 23, 25, 38, 40, 46, 50, 76, 92, 95, 100, 115, 152, 184, 190, 200, 230, 380, 437, 460, 475, 575, 760, 874, 920, 950, 1150, 1748, 1900, 2185, 2300, 3496, 3800, 4370, 4600, 8740, 10925, 17480, 21850, 43700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87381 and 87400. The biggest common factor number is the GCF number.
So the greatest common factor 87381 and 87400 is 19.

Also check out the Least Common Multiple of 87381 and 87400