What is the Greatest Common Factor of 88288 and 88307?

Greatest common factor (GCF) of 88288 and 88307 is 1.

GCF(88288,88307) = 1

We will now calculate the prime factors of 88288 and 88307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88288 and 88307.

How to find the GCF of 88288 and 88307?

We will first find the prime factorization of 88288 and 88307. After we will calculate the factors of 88288 and 88307 and find the biggest common factor number .

Step-1: Prime Factorization of 88288

Prime factors of 88288 are 2, 31, 89. Prime factorization of 88288 in exponential form is:

88288 = 2⁵ × 31¹ × 89¹

Step-2: Prime Factorization of 88307

Prime factors of 88307 are 233, 379. Prime factorization of 88307 in exponential form is:

88307 = 233¹ × 379¹

Step-3: Factors of 88288

List of positive integer factors of 88288 that divides 88288 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 89, 124, 178, 248, 356, 496, 712, 992, 1424, 2759, 2848, 5518, 11036, 22072, 44144

Step-4: Factors of 88307

List of positive integer factors of 88307 that divides 88288 without a remainder.

1, 233, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88288 and 88307. The biggest common factor number is the GCF number.
So the greatest common factor 88288 and 88307 is 1.

Also check out the Least Common Multiple of 88288 and 88307