What is the Greatest Common Factor of 58872 and 58883?

Greatest common factor (GCF) of 58872 and 58883 is 11.

GCF(58872,58883) = 11

We will now calculate the prime factors of 58872 and 58883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58872 and 58883.

How to find the GCF of 58872 and 58883?

We will first find the prime factorization of 58872 and 58883. After we will calculate the factors of 58872 and 58883 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58883

Prime factors of 58883 are 11, 53, 101. Prime factorization of 58883 in exponential form is:

58883 = 11¹ × 53¹ × 101¹

Step-3: Factors of 58872

List of positive integer factors of 58872 that divides 58872 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

Step-4: Factors of 58883

List of positive integer factors of 58883 that divides 58872 without a remainder.

1, 11, 53, 101, 583, 1111, 5353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58872 and 58883. The biggest common factor number is the GCF number.
So the greatest common factor 58872 and 58883 is 11.

Also check out the Least Common Multiple of 58872 and 58883