What is the Greatest Common Factor of 87381 and 87395?

Greatest common factor (GCF) of 87381 and 87395 is 7.

GCF(87381,87395) = 7

We will now calculate the prime factors of 87381 and 87395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87381 and 87395.

How to find the GCF of 87381 and 87395?

We will first find the prime factorization of 87381 and 87395. After we will calculate the factors of 87381 and 87395 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 87395

Prime factors of 87395 are 5, 7, 11, 227. Prime factorization of 87395 in exponential form is:

87395 = 5¹ × 7¹ × 11¹ × 227¹

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 87395

List of positive integer factors of 87395 that divides 87381 without a remainder.

1, 5, 7, 11, 35, 55, 77, 227, 385, 1135, 1589, 2497, 7945, 12485, 17479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87381 and 87395. The biggest common factor number is the GCF number.
So the greatest common factor 87381 and 87395 is 7.

Also check out the Least Common Multiple of 87381 and 87395