What is the Greatest Common Factor of 88338 and 88358?

Greatest common factor (GCF) of 88338 and 88358 is 2.

GCF(88338,88358) = 2

We will now calculate the prime factors of 88338 and 88358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88338 and 88358.

How to find the GCF of 88338 and 88358?

We will first find the prime factorization of 88338 and 88358. After we will calculate the factors of 88338 and 88358 and find the biggest common factor number .

Step-1: Prime Factorization of 88338

Prime factors of 88338 are 2, 3, 14723. Prime factorization of 88338 in exponential form is:

88338 = 2¹ × 3¹ × 14723¹

Step-2: Prime Factorization of 88358

Prime factors of 88358 are 2, 44179. Prime factorization of 88358 in exponential form is:

88358 = 2¹ × 44179¹

Step-3: Factors of 88338

List of positive integer factors of 88338 that divides 88338 without a remainder.

1, 2, 3, 6, 14723, 29446, 44169

Step-4: Factors of 88358

List of positive integer factors of 88358 that divides 88338 without a remainder.

1, 2, 44179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88338 and 88358. The biggest common factor number is the GCF number.
So the greatest common factor 88338 and 88358 is 2.

Also check out the Least Common Multiple of 88338 and 88358