What is the Greatest Common Factor of 88347 and 88361?

Greatest common factor (GCF) of 88347 and 88361 is 7.

GCF(88347,88361) = 7

We will now calculate the prime factors of 88347 and 88361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88347 and 88361.

How to find the GCF of 88347 and 88361?

We will first find the prime factorization of 88347 and 88361. After we will calculate the factors of 88347 and 88361 and find the biggest common factor number .

Step-1: Prime Factorization of 88347

Prime factors of 88347 are 3, 7, 601. Prime factorization of 88347 in exponential form is:

88347 = 3¹ × 7² × 601¹

Step-2: Prime Factorization of 88361

Prime factors of 88361 are 7, 13, 971. Prime factorization of 88361 in exponential form is:

88361 = 7¹ × 13¹ × 971¹

Step-3: Factors of 88347

List of positive integer factors of 88347 that divides 88347 without a remainder.

1, 3, 7, 21, 49, 147, 601, 1803, 4207, 12621, 29449

Step-4: Factors of 88361

List of positive integer factors of 88361 that divides 88347 without a remainder.

1, 7, 13, 91, 971, 6797, 12623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88347 and 88361. The biggest common factor number is the GCF number.
So the greatest common factor 88347 and 88361 is 7.

Also check out the Least Common Multiple of 88347 and 88361