What is the Greatest Common Factor of 89645 and 89649?

Greatest common factor (GCF) of 89645 and 89649 is 1.

GCF(89645,89649) = 1

We will now calculate the prime factors of 89645 and 89649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89645 and 89649.

How to find the GCF of 89645 and 89649?

We will first find the prime factorization of 89645 and 89649. After we will calculate the factors of 89645 and 89649 and find the biggest common factor number .

Step-1: Prime Factorization of 89645

Prime factors of 89645 are 5, 17929. Prime factorization of 89645 in exponential form is:

89645 = 5¹ × 17929¹

Step-2: Prime Factorization of 89649

Prime factors of 89649 are 3, 7, 1423. Prime factorization of 89649 in exponential form is:

89649 = 3² × 7¹ × 1423¹

Step-3: Factors of 89645

List of positive integer factors of 89645 that divides 89645 without a remainder.

1, 5, 17929

Step-4: Factors of 89649

List of positive integer factors of 89649 that divides 89645 without a remainder.

1, 3, 7, 9, 21, 63, 1423, 4269, 9961, 12807, 29883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89645 and 89649. The biggest common factor number is the GCF number.
So the greatest common factor 89645 and 89649 is 1.

Also check out the Least Common Multiple of 89645 and 89649