What is the Greatest Common Factor of 88338 and 88349?

Greatest common factor (GCF) of 88338 and 88349 is 1.

GCF(88338,88349) = 1

We will now calculate the prime factors of 88338 and 88349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88338 and 88349.

How to find the GCF of 88338 and 88349?

We will first find the prime factorization of 88338 and 88349. After we will calculate the factors of 88338 and 88349 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 88349

Prime factors of 88349 are 17, 5197. Prime factorization of 88349 in exponential form is:

88349 = 17¹ × 5197¹

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 88349

List of positive integer factors of 88349 that divides 88338 without a remainder.

1, 17, 5197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88338 and 88349. The biggest common factor number is the GCF number.
So the greatest common factor 88338 and 88349 is 1.

Also check out the Least Common Multiple of 88338 and 88349