What is the Greatest Common Factor of 89530 and 89550?

Greatest common factor (GCF) of 89530 and 89550 is 10.

GCF(89530,89550) = 10

We will now calculate the prime factors of 89530 and 89550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89530 and 89550.

How to find the GCF of 89530 and 89550?

We will first find the prime factorization of 89530 and 89550. After we will calculate the factors of 89530 and 89550 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 89550

Prime factors of 89550 are 2, 3, 5, 199. Prime factorization of 89550 in exponential form is:

89550 = 2¹ × 3² × 5² × 199¹

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 89550

List of positive integer factors of 89550 that divides 89530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 199, 225, 398, 450, 597, 995, 1194, 1791, 1990, 2985, 3582, 4975, 5970, 8955, 9950, 14925, 17910, 29850, 44775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89530 and 89550. The biggest common factor number is the GCF number.
So the greatest common factor 89530 and 89550 is 10.

Also check out the Least Common Multiple of 89530 and 89550