What is the Greatest Common Factor of 88288 and 88294?

Greatest common factor (GCF) of 88288 and 88294 is 2.

GCF(88288,88294) = 2

We will now calculate the prime factors of 88288 and 88294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88288 and 88294.

How to find the GCF of 88288 and 88294?

We will first find the prime factorization of 88288 and 88294. After we will calculate the factors of 88288 and 88294 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 88294

Prime factors of 88294 are 2, 131, 337. Prime factorization of 88294 in exponential form is:

88294 = 2¹ × 131¹ × 337¹

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 88294

List of positive integer factors of 88294 that divides 88288 without a remainder.

1, 2, 131, 262, 337, 674, 44147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88288 and 88294. The biggest common factor number is the GCF number.
So the greatest common factor 88288 and 88294 is 2.

Also check out the Least Common Multiple of 88288 and 88294