What is the Greatest Common Factor of 58522 and 58540?

Greatest common factor (GCF) of 58522 and 58540 is 2.

GCF(58522,58540) = 2

We will now calculate the prime factors of 58522 and 58540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58522 and 58540.

How to find the GCF of 58522 and 58540?

We will first find the prime factorization of 58522 and 58540. After we will calculate the factors of 58522 and 58540 and find the biggest common factor number .

Step-1: Prime Factorization of 58522

Prime factors of 58522 are 2, 29, 1009. Prime factorization of 58522 in exponential form is:

58522 = 2¹ × 29¹ × 1009¹

Step-2: Prime Factorization of 58540

Prime factors of 58540 are 2, 5, 2927. Prime factorization of 58540 in exponential form is:

58540 = 2² × 5¹ × 2927¹

Step-3: Factors of 58522

List of positive integer factors of 58522 that divides 58522 without a remainder.

1, 2, 29, 58, 1009, 2018, 29261

Step-4: Factors of 58540

List of positive integer factors of 58540 that divides 58522 without a remainder.

1, 2, 4, 5, 10, 20, 2927, 5854, 11708, 14635, 29270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58522 and 58540. The biggest common factor number is the GCF number.
So the greatest common factor 58522 and 58540 is 2.

Also check out the Least Common Multiple of 58522 and 58540