What is the Greatest Common Factor of 89058 and 89074?

Greatest common factor (GCF) of 89058 and 89074 is 2.

GCF(89058,89074) = 2

We will now calculate the prime factors of 89058 and 89074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89058 and 89074.

How to find the GCF of 89058 and 89074?

We will first find the prime factorization of 89058 and 89074. After we will calculate the factors of 89058 and 89074 and find the biggest common factor number .

Step-1: Prime Factorization of 89058

Prime factors of 89058 are 2, 3, 14843. Prime factorization of 89058 in exponential form is:

89058 = 2¹ × 3¹ × 14843¹

Step-2: Prime Factorization of 89074

Prime factors of 89074 are 2, 44537. Prime factorization of 89074 in exponential form is:

89074 = 2¹ × 44537¹

Step-3: Factors of 89058

List of positive integer factors of 89058 that divides 89058 without a remainder.

1, 2, 3, 6, 14843, 29686, 44529

Step-4: Factors of 89074

List of positive integer factors of 89074 that divides 89058 without a remainder.

1, 2, 44537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89058 and 89074. The biggest common factor number is the GCF number.
So the greatest common factor 89058 and 89074 is 2.

Also check out the Least Common Multiple of 89058 and 89074