What is the Greatest Common Factor of 42887 and 42900?

Greatest common factor (GCF) of 42887 and 42900 is 13.

GCF(42887,42900) = 13

We will now calculate the prime factors of 42887 and 42900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42887 and 42900.

How to find the GCF of 42887 and 42900?

We will first find the prime factorization of 42887 and 42900. After we will calculate the factors of 42887 and 42900 and find the biggest common factor number .

Step-1: Prime Factorization of 42887

Prime factors of 42887 are 13, 3299. Prime factorization of 42887 in exponential form is:

42887 = 13¹ × 3299¹

Step-2: 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-3: Factors of 42887

List of positive integer factors of 42887 that divides 42887 without a remainder.

1, 13, 3299

Step-4: Factors of 42900

List of positive integer factors of 42900 that divides 42887 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42887 and 42900. The biggest common factor number is the GCF number.
So the greatest common factor 42887 and 42900 is 13.

Also check out the Least Common Multiple of 42887 and 42900