What is the Greatest Common Factor of 88368 and 88381?

Greatest common factor (GCF) of 88368 and 88381 is 1.

GCF(88368,88381) = 1

We will now calculate the prime factors of 88368 and 88381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88368 and 88381.

How to find the GCF of 88368 and 88381?

We will first find the prime factorization of 88368 and 88381. After we will calculate the factors of 88368 and 88381 and find the biggest common factor number .

Step-1: Prime Factorization of 88368

Prime factors of 88368 are 2, 3, 7, 263. Prime factorization of 88368 in exponential form is:

88368 = 2⁴ × 3¹ × 7¹ × 263¹

Step-2: Prime Factorization of 88381

Prime factors of 88381 are 31, 2851. Prime factorization of 88381 in exponential form is:

88381 = 31¹ × 2851¹

Step-3: Factors of 88368

List of positive integer factors of 88368 that divides 88368 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 263, 336, 526, 789, 1052, 1578, 1841, 2104, 3156, 3682, 4208, 5523, 6312, 7364, 11046, 12624, 14728, 22092, 29456, 44184

Step-4: Factors of 88381

List of positive integer factors of 88381 that divides 88368 without a remainder.

1, 31, 2851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88368 and 88381. The biggest common factor number is the GCF number.
So the greatest common factor 88368 and 88381 is 1.

Also check out the Least Common Multiple of 88368 and 88381