What is the Greatest Common Factor of 89427 and 89442?

Greatest common factor (GCF) of 89427 and 89442 is 3.

GCF(89427,89442) = 3

We will now calculate the prime factors of 89427 and 89442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89427 and 89442.

How to find the GCF of 89427 and 89442?

We will first find the prime factorization of 89427 and 89442. After we will calculate the factors of 89427 and 89442 and find the biggest common factor number .

Step-1: Prime Factorization of 89427

Prime factors of 89427 are 3, 13, 2293. Prime factorization of 89427 in exponential form is:

89427 = 3¹ × 13¹ × 2293¹

Step-2: 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-3: Factors of 89427

List of positive integer factors of 89427 that divides 89427 without a remainder.

1, 3, 13, 39, 2293, 6879, 29809

Step-4: Factors of 89442

List of positive integer factors of 89442 that divides 89427 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89427 and 89442. The biggest common factor number is the GCF number.
So the greatest common factor 89427 and 89442 is 3.

Also check out the Least Common Multiple of 89427 and 89442