What is the Greatest Common Factor of 90042 and 90051?

Greatest common factor (GCF) of 90042 and 90051 is 3.

GCF(90042,90051) = 3

We will now calculate the prime factors of 90042 and 90051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90042 and 90051.

How to find the GCF of 90042 and 90051?

We will first find the prime factorization of 90042 and 90051. After we will calculate the factors of 90042 and 90051 and find the biggest common factor number .

Step-1: Prime Factorization of 90042

Prime factors of 90042 are 2, 3, 43, 349. Prime factorization of 90042 in exponential form is:

90042 = 2¹ × 3¹ × 43¹ × 349¹

Step-2: Prime Factorization of 90051

Prime factors of 90051 are 3, 13, 2309. Prime factorization of 90051 in exponential form is:

90051 = 3¹ × 13¹ × 2309¹

Step-3: Factors of 90042

List of positive integer factors of 90042 that divides 90042 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 349, 698, 1047, 2094, 15007, 30014, 45021

Step-4: Factors of 90051

List of positive integer factors of 90051 that divides 90042 without a remainder.

1, 3, 13, 39, 2309, 6927, 30017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90042 and 90051. The biggest common factor number is the GCF number.
So the greatest common factor 90042 and 90051 is 3.

Also check out the Least Common Multiple of 90042 and 90051