What is the Greatest Common Factor of 89523 and 89540?

Greatest common factor (GCF) of 89523 and 89540 is 1.

GCF(89523,89540) = 1

We will now calculate the prime factors of 89523 and 89540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89523 and 89540.

How to find the GCF of 89523 and 89540?

We will first find the prime factorization of 89523 and 89540. After we will calculate the factors of 89523 and 89540 and find the biggest common factor number .

Step-1: Prime Factorization of 89523

Prime factors of 89523 are 3, 7, 29. Prime factorization of 89523 in exponential form is:

89523 = 3² × 7³ × 29¹

Step-2: 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-3: Factors of 89523

List of positive integer factors of 89523 that divides 89523 without a remainder.

1, 3, 7, 9, 21, 29, 49, 63, 87, 147, 203, 261, 343, 441, 609, 1029, 1421, 1827, 3087, 4263, 9947, 12789, 29841

Step-4: Factors of 89540

List of positive integer factors of 89540 that divides 89523 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89523 and 89540. The biggest common factor number is the GCF number.
So the greatest common factor 89523 and 89540 is 1.

Also check out the Least Common Multiple of 89523 and 89540