What is the Greatest Common Factor of 89623 and 89642?

Greatest common factor (GCF) of 89623 and 89642 is 19.

GCF(89623,89642) = 19

We will now calculate the prime factors of 89623 and 89642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89623 and 89642.

How to find the GCF of 89623 and 89642?

We will first find the prime factorization of 89623 and 89642. After we will calculate the factors of 89623 and 89642 and find the biggest common factor number .

Step-1: Prime Factorization of 89623

Prime factors of 89623 are 19, 53, 89. Prime factorization of 89623 in exponential form is:

89623 = 19¹ × 53¹ × 89¹

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 89623

List of positive integer factors of 89623 that divides 89623 without a remainder.

1, 19, 53, 89, 1007, 1691, 4717

Step-4: Factors of 89642

List of positive integer factors of 89642 that divides 89623 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 89623 and 89642. The biggest common factor number is the GCF number.
So the greatest common factor 89623 and 89642 is 19.

Also check out the Least Common Multiple of 89623 and 89642