What is the Greatest Common Factor of 42900 and 42906?

Greatest common factor (GCF) of 42900 and 42906 is 6.

GCF(42900,42906) = 6

We will now calculate the prime factors of 42900 and 42906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42900 and 42906.

How to find the GCF of 42900 and 42906?

We will first find the prime factorization of 42900 and 42906. After we will calculate the factors of 42900 and 42906 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 42906

Prime factors of 42906 are 2, 3, 7151. Prime factorization of 42906 in exponential form is:

42906 = 2¹ × 3¹ × 7151¹

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 42906

List of positive integer factors of 42906 that divides 42900 without a remainder.

1, 2, 3, 6, 7151, 14302, 21453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42900 and 42906. The biggest common factor number is the GCF number.
So the greatest common factor 42900 and 42906 is 6.

Also check out the Least Common Multiple of 42900 and 42906