What is the Greatest Common Factor of 89164 and 89182?

Greatest common factor (GCF) of 89164 and 89182 is 2.

GCF(89164,89182) = 2

We will now calculate the prime factors of 89164 and 89182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89164 and 89182.

How to find the GCF of 89164 and 89182?

We will first find the prime factorization of 89164 and 89182. After we will calculate the factors of 89164 and 89182 and find the biggest common factor number .

Step-1: Prime Factorization of 89164

Prime factors of 89164 are 2, 22291. Prime factorization of 89164 in exponential form is:

89164 = 2² × 22291¹

Step-2: Prime Factorization of 89182

Prime factors of 89182 are 2, 17, 43, 61. Prime factorization of 89182 in exponential form is:

89182 = 2¹ × 17¹ × 43¹ × 61¹

Step-3: Factors of 89164

List of positive integer factors of 89164 that divides 89164 without a remainder.

1, 2, 4, 22291, 44582

Step-4: Factors of 89182

List of positive integer factors of 89182 that divides 89164 without a remainder.

1, 2, 17, 34, 43, 61, 86, 122, 731, 1037, 1462, 2074, 2623, 5246, 44591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89164 and 89182. The biggest common factor number is the GCF number.
So the greatest common factor 89164 and 89182 is 2.

Also check out the Least Common Multiple of 89164 and 89182