What is the Greatest Common Factor of 58861 and 58872?

Greatest common factor (GCF) of 58861 and 58872 is 11.

GCF(58861,58872) = 11

We will now calculate the prime factors of 58861 and 58872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58861 and 58872.

How to find the GCF of 58861 and 58872?

We will first find the prime factorization of 58861 and 58872. After we will calculate the factors of 58861 and 58872 and find the biggest common factor number .

Step-1: Prime Factorization of 58861

Prime factors of 58861 are 11, 5351. Prime factorization of 58861 in exponential form is:

58861 = 11¹ × 5351¹

Step-2: Prime Factorization of 58872

Prime factors of 58872 are 2, 3, 11, 223. Prime factorization of 58872 in exponential form is:

58872 = 2³ × 3¹ × 11¹ × 223¹

Step-3: Factors of 58861

List of positive integer factors of 58861 that divides 58861 without a remainder.

1, 11, 5351

Step-4: Factors of 58872

List of positive integer factors of 58872 that divides 58861 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 223, 264, 446, 669, 892, 1338, 1784, 2453, 2676, 4906, 5352, 7359, 9812, 14718, 19624, 29436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58861 and 58872. The biggest common factor number is the GCF number.
So the greatest common factor 58861 and 58872 is 11.

Also check out the Least Common Multiple of 58861 and 58872