What is the Greatest Common Factor of 42900 and 42911?

Greatest common factor (GCF) of 42900 and 42911 is 11.

GCF(42900,42911) = 11

We will now calculate the prime factors of 42900 and 42911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42900 and 42911.

How to find the GCF of 42900 and 42911?

We will first find the prime factorization of 42900 and 42911. After we will calculate the factors of 42900 and 42911 and find the biggest common factor number .

Step-1: Prime Factorization of 42900

Prime factors of 42900 are 2, 3, 5, 11, 13. Prime factorization of 42900 in exponential form is:

42900 = 2² × 3¹ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 42911

Prime factors of 42911 are 11, 47, 83. Prime factorization of 42911 in exponential form is:

42911 = 11¹ × 47¹ × 83¹

Step-3: Factors of 42900

List of positive integer factors of 42900 that divides 42900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 25, 26, 30, 33, 39, 44, 50, 52, 55, 60, 65, 66, 75, 78, 100, 110, 130, 132, 143, 150, 156, 165, 195, 220, 260, 275, 286, 300, 325, 330, 390, 429, 550, 572, 650, 660, 715, 780, 825, 858, 975, 1100, 1300, 1430, 1650, 1716, 1950, 2145, 2860, 3300, 3575, 3900, 4290, 7150, 8580, 10725, 14300, 21450

Step-4: Factors of 42911

List of positive integer factors of 42911 that divides 42900 without a remainder.

1, 11, 47, 83, 517, 913, 3901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42900 and 42911. The biggest common factor number is the GCF number.
So the greatest common factor 42900 and 42911 is 11.

Also check out the Least Common Multiple of 42900 and 42911