What is the Greatest Common Factor of 89442 and 89454?

Greatest common factor (GCF) of 89442 and 89454 is 6.

GCF(89442,89454) = 6

We will now calculate the prime factors of 89442 and 89454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89442 and 89454.

How to find the GCF of 89442 and 89454?

We will first find the prime factorization of 89442 and 89454. After we will calculate the factors of 89442 and 89454 and find the biggest common factor number .

Step-1: Prime Factorization of 89442

Prime factors of 89442 are 2, 3, 4969. Prime factorization of 89442 in exponential form is:

89442 = 2¹ × 3² × 4969¹

Step-2: Prime Factorization of 89454

Prime factors of 89454 are 2, 3, 17, 877. Prime factorization of 89454 in exponential form is:

89454 = 2¹ × 3¹ × 17¹ × 877¹

Step-3: Factors of 89442

List of positive integer factors of 89442 that divides 89442 without a remainder.

1, 2, 3, 6, 9, 18, 4969, 9938, 14907, 29814, 44721

Step-4: Factors of 89454

List of positive integer factors of 89454 that divides 89442 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 877, 1754, 2631, 5262, 14909, 29818, 44727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89442 and 89454. The biggest common factor number is the GCF number.
So the greatest common factor 89442 and 89454 is 6.

Also check out the Least Common Multiple of 89442 and 89454