What is the Greatest Common Factor of 89540 and 89549?

Greatest common factor (GCF) of 89540 and 89549 is 1.

GCF(89540,89549) = 1

We will now calculate the prime factors of 89540 and 89549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89540 and 89549.

How to find the GCF of 89540 and 89549?

We will first find the prime factorization of 89540 and 89549. After we will calculate the factors of 89540 and 89549 and find the biggest common factor number .

Step-1: Prime Factorization of 89540

Prime factors of 89540 are 2, 5, 11, 37. Prime factorization of 89540 in exponential form is:

89540 = 2² × 5¹ × 11² × 37¹

Step-2: Prime Factorization of 89549

Prime factors of 89549 are 149, 601. Prime factorization of 89549 in exponential form is:

89549 = 149¹ × 601¹

Step-3: Factors of 89540

List of positive integer factors of 89540 that divides 89540 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 121, 148, 185, 220, 242, 370, 407, 484, 605, 740, 814, 1210, 1628, 2035, 2420, 4070, 4477, 8140, 8954, 17908, 22385, 44770

Step-4: Factors of 89549

List of positive integer factors of 89549 that divides 89540 without a remainder.

1, 149, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89540 and 89549. The biggest common factor number is the GCF number.
So the greatest common factor 89540 and 89549 is 1.

Also check out the Least Common Multiple of 89540 and 89549