What is the Greatest Common Factor of 89626 and 89642?

Greatest common factor (GCF) of 89626 and 89642 is 2.

GCF(89626,89642) = 2

We will now calculate the prime factors of 89626 and 89642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89626 and 89642.

How to find the GCF of 89626 and 89642?

We will first find the prime factorization of 89626 and 89642. After we will calculate the factors of 89626 and 89642 and find the biggest common factor number .

Step-1: Prime Factorization of 89626

Prime factors of 89626 are 2, 41, 1093. Prime factorization of 89626 in exponential form is:

89626 = 2¹ × 41¹ × 1093¹

Step-2: Prime Factorization of 89642

Prime factors of 89642 are 2, 7, 19, 337. Prime factorization of 89642 in exponential form is:

89642 = 2¹ × 7¹ × 19¹ × 337¹

Step-3: Factors of 89626

List of positive integer factors of 89626 that divides 89626 without a remainder.

1, 2, 41, 82, 1093, 2186, 44813

Step-4: Factors of 89642

List of positive integer factors of 89642 that divides 89626 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 337, 674, 2359, 4718, 6403, 12806, 44821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89626 and 89642. The biggest common factor number is the GCF number.
So the greatest common factor 89626 and 89642 is 2.

Also check out the Least Common Multiple of 89626 and 89642