What is the Greatest Common Factor of 89245 and 89258?

Greatest common factor (GCF) of 89245 and 89258 is 13.

GCF(89245,89258) = 13

We will now calculate the prime factors of 89245 and 89258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89245 and 89258.

How to find the GCF of 89245 and 89258?

We will first find the prime factorization of 89245 and 89258. After we will calculate the factors of 89245 and 89258 and find the biggest common factor number .

Step-1: Prime Factorization of 89245

Prime factors of 89245 are 5, 13, 1373. Prime factorization of 89245 in exponential form is:

89245 = 5¹ × 13¹ × 1373¹

Step-2: Prime Factorization of 89258

Prime factors of 89258 are 2, 13, 3433. Prime factorization of 89258 in exponential form is:

89258 = 2¹ × 13¹ × 3433¹

Step-3: Factors of 89245

List of positive integer factors of 89245 that divides 89245 without a remainder.

1, 5, 13, 65, 1373, 6865, 17849

Step-4: Factors of 89258

List of positive integer factors of 89258 that divides 89245 without a remainder.

1, 2, 13, 26, 3433, 6866, 44629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89245 and 89258. The biggest common factor number is the GCF number.
So the greatest common factor 89245 and 89258 is 13.

Also check out the Least Common Multiple of 89245 and 89258