What is the Greatest Common Factor of 42889 and 42900?

Greatest common factor (GCF) of 42889 and 42900 is 11.

GCF(42889,42900) = 11

We will now calculate the prime factors of 42889 and 42900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42889 and 42900.

How to find the GCF of 42889 and 42900?

We will first find the prime factorization of 42889 and 42900. After we will calculate the factors of 42889 and 42900 and find the biggest common factor number .

Step-1: Prime Factorization of 42889

Prime factors of 42889 are 7, 11, 557. Prime factorization of 42889 in exponential form is:

42889 = 7¹ × 11¹ × 557¹

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 42889

List of positive integer factors of 42889 that divides 42889 without a remainder.

1, 7, 11, 77, 557, 3899, 6127

Step-4: Factors of 42900

List of positive integer factors of 42900 that divides 42889 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 42889 and 42900. The biggest common factor number is the GCF number.
So the greatest common factor 42889 and 42900 is 11.

Also check out the Least Common Multiple of 42889 and 42900