What is the Greatest Common Factor of 89633 and 89642?

Greatest common factor (GCF) of 89633 and 89642 is 1.

GCF(89633,89642) = 1

We will now calculate the prime factors of 89633 and 89642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89633 and 89642.

How to find the GCF of 89633 and 89642?

We will first find the prime factorization of 89633 and 89642. After we will calculate the factors of 89633 and 89642 and find the biggest common factor number .

Step-1: Prime Factorization of 89633

Prime factors of 89633 are 89633. Prime factorization of 89633 in exponential form is:

89633 = 89633¹

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 89633

List of positive integer factors of 89633 that divides 89633 without a remainder.

Step-4: Factors of 89642

List of positive integer factors of 89642 that divides 89633 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 89633 and 89642. The biggest common factor number is the GCF number.
So the greatest common factor 89633 and 89642 is 1.

Also check out the Least Common Multiple of 89633 and 89642