What is the Greatest Common Factor of 89530 and 89540?

Greatest common factor (GCF) of 89530 and 89540 is 10.

GCF(89530,89540) = 10

We will now calculate the prime factors of 89530 and 89540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89530 and 89540.

How to find the GCF of 89530 and 89540?

We will first find the prime factorization of 89530 and 89540. After we will calculate the factors of 89530 and 89540 and find the biggest common factor number .

Step-1: Prime Factorization of 89530

Prime factors of 89530 are 2, 5, 7, 1279. Prime factorization of 89530 in exponential form is:

89530 = 2¹ × 5¹ × 7¹ × 1279¹

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 89530

List of positive integer factors of 89530 that divides 89530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1279, 2558, 6395, 8953, 12790, 17906, 44765

Step-4: Factors of 89540

List of positive integer factors of 89540 that divides 89530 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 89530 and 89540. The biggest common factor number is the GCF number.
So the greatest common factor 89530 and 89540 is 10.

Also check out the Least Common Multiple of 89530 and 89540