What is the Greatest Common Factor of 90052 and 90058?

Greatest common factor (GCF) of 90052 and 90058 is 2.

GCF(90052,90058) = 2

We will now calculate the prime factors of 90052 and 90058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90052 and 90058.

How to find the GCF of 90052 and 90058?

We will first find the prime factorization of 90052 and 90058. After we will calculate the factors of 90052 and 90058 and find the biggest common factor number .

Step-1: Prime Factorization of 90052

Prime factors of 90052 are 2, 47, 479. Prime factorization of 90052 in exponential form is:

90052 = 2² × 47¹ × 479¹

Step-2: Prime Factorization of 90058

Prime factors of 90058 are 2, 37, 1217. Prime factorization of 90058 in exponential form is:

90058 = 2¹ × 37¹ × 1217¹

Step-3: Factors of 90052

List of positive integer factors of 90052 that divides 90052 without a remainder.

1, 2, 4, 47, 94, 188, 479, 958, 1916, 22513, 45026

Step-4: Factors of 90058

List of positive integer factors of 90058 that divides 90052 without a remainder.

1, 2, 37, 74, 1217, 2434, 45029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90052 and 90058. The biggest common factor number is the GCF number.
So the greatest common factor 90052 and 90058 is 2.

Also check out the Least Common Multiple of 90052 and 90058