What is the Greatest Common Factor of 58512 and 58522?

Greatest common factor (GCF) of 58512 and 58522 is 2.

GCF(58512,58522) = 2

We will now calculate the prime factors of 58512 and 58522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58512 and 58522.

How to find the GCF of 58512 and 58522?

We will first find the prime factorization of 58512 and 58522. After we will calculate the factors of 58512 and 58522 and find the biggest common factor number .

Step-1: Prime Factorization of 58512

Prime factors of 58512 are 2, 3, 23, 53. Prime factorization of 58512 in exponential form is:

58512 = 2⁴ × 3¹ × 23¹ × 53¹

Step-2: 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-3: Factors of 58512

List of positive integer factors of 58512 that divides 58512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 53, 69, 92, 106, 138, 159, 184, 212, 276, 318, 368, 424, 552, 636, 848, 1104, 1219, 1272, 2438, 2544, 3657, 4876, 7314, 9752, 14628, 19504, 29256

Step-4: Factors of 58522

List of positive integer factors of 58522 that divides 58512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58512 and 58522. The biggest common factor number is the GCF number.
So the greatest common factor 58512 and 58522 is 2.

Also check out the Least Common Multiple of 58512 and 58522