What is the Greatest Common Factor of 89228 and 89245?

Greatest common factor (GCF) of 89228 and 89245 is 1.

GCF(89228,89245) = 1

We will now calculate the prime factors of 89228 and 89245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89228 and 89245.

How to find the GCF of 89228 and 89245?

We will first find the prime factorization of 89228 and 89245. After we will calculate the factors of 89228 and 89245 and find the biggest common factor number .

Step-1: Prime Factorization of 89228

Prime factors of 89228 are 2, 22307. Prime factorization of 89228 in exponential form is:

89228 = 2² × 22307¹

Step-2: 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-3: Factors of 89228

List of positive integer factors of 89228 that divides 89228 without a remainder.

1, 2, 4, 22307, 44614

Step-4: Factors of 89245

List of positive integer factors of 89245 that divides 89228 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89228 and 89245. The biggest common factor number is the GCF number.
So the greatest common factor 89228 and 89245 is 1.

Also check out the Least Common Multiple of 89228 and 89245