What is the Greatest Common Factor of 88049 and 88059?

Greatest common factor (GCF) of 88049 and 88059 is 1.

GCF(88049,88059) = 1

We will now calculate the prime factors of 88049 and 88059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88049 and 88059.

How to find the GCF of 88049 and 88059?

We will first find the prime factorization of 88049 and 88059. After we will calculate the factors of 88049 and 88059 and find the biggest common factor number .

Step-1: Prime Factorization of 88049

Prime factors of 88049 are 13, 521. Prime factorization of 88049 in exponential form is:

88049 = 13² × 521¹

Step-2: Prime Factorization of 88059

Prime factors of 88059 are 3, 149, 197. Prime factorization of 88059 in exponential form is:

88059 = 3¹ × 149¹ × 197¹

Step-3: Factors of 88049

List of positive integer factors of 88049 that divides 88049 without a remainder.

1, 13, 169, 521, 6773

Step-4: Factors of 88059

List of positive integer factors of 88059 that divides 88049 without a remainder.

1, 3, 149, 197, 447, 591, 29353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88049 and 88059. The biggest common factor number is the GCF number.
So the greatest common factor 88049 and 88059 is 1.

Also check out the Least Common Multiple of 88049 and 88059