What is the Greatest Common Factor of 90057 and 90069?

Greatest common factor (GCF) of 90057 and 90069 is 3.

GCF(90057,90069) = 3

We will now calculate the prime factors of 90057 and 90069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90057 and 90069.

How to find the GCF of 90057 and 90069?

We will first find the prime factorization of 90057 and 90069. After we will calculate the factors of 90057 and 90069 and find the biggest common factor number .

Step-1: Prime Factorization of 90057

Prime factors of 90057 are 3, 11, 2729. Prime factorization of 90057 in exponential form is:

90057 = 3¹ × 11¹ × 2729¹

Step-2: Prime Factorization of 90069

Prime factors of 90069 are 3, 7, 4289. Prime factorization of 90069 in exponential form is:

90069 = 3¹ × 7¹ × 4289¹

Step-3: Factors of 90057

List of positive integer factors of 90057 that divides 90057 without a remainder.

1, 3, 11, 33, 2729, 8187, 30019

Step-4: Factors of 90069

List of positive integer factors of 90069 that divides 90057 without a remainder.

1, 3, 7, 21, 4289, 12867, 30023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90057 and 90069. The biggest common factor number is the GCF number.
So the greatest common factor 90057 and 90069 is 3.

Also check out the Least Common Multiple of 90057 and 90069