What is the Greatest Common Factor of 89052 and 89069?

Greatest common factor (GCF) of 89052 and 89069 is 1.

GCF(89052,89069) = 1

We will now calculate the prime factors of 89052 and 89069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89052 and 89069.

How to find the GCF of 89052 and 89069?

We will first find the prime factorization of 89052 and 89069. After we will calculate the factors of 89052 and 89069 and find the biggest common factor number .

Step-1: Prime Factorization of 89052

Prime factors of 89052 are 2, 3, 41, 181. Prime factorization of 89052 in exponential form is:

89052 = 2² × 3¹ × 41¹ × 181¹

Step-2: Prime Factorization of 89069

Prime factors of 89069 are 89069. Prime factorization of 89069 in exponential form is:

89069 = 89069¹

Step-3: Factors of 89052

List of positive integer factors of 89052 that divides 89052 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 181, 246, 362, 492, 543, 724, 1086, 2172, 7421, 14842, 22263, 29684, 44526

Step-4: Factors of 89069

List of positive integer factors of 89069 that divides 89052 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89052 and 89069. The biggest common factor number is the GCF number.
So the greatest common factor 89052 and 89069 is 1.

Also check out the Least Common Multiple of 89052 and 89069