What is the Greatest Common Factor of 90042 and 90053?

Greatest common factor (GCF) of 90042 and 90053 is 1.

GCF(90042,90053) = 1

We will now calculate the prime factors of 90042 and 90053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90042 and 90053.

How to find the GCF of 90042 and 90053?

We will first find the prime factorization of 90042 and 90053. After we will calculate the factors of 90042 and 90053 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 90053

Prime factors of 90053 are 90053. Prime factorization of 90053 in exponential form is:

90053 = 90053¹

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 90053

List of positive integer factors of 90053 that divides 90042 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90042 and 90053. The biggest common factor number is the GCF number.
So the greatest common factor 90042 and 90053 is 1.

Also check out the Least Common Multiple of 90042 and 90053