What is the Greatest Common Factor of 42880 and 42900?

Greatest common factor (GCF) of 42880 and 42900 is 20.

GCF(42880,42900) = 20

We will now calculate the prime factors of 42880 and 42900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42880 and 42900.

How to find the GCF of 42880 and 42900?

We will first find the prime factorization of 42880 and 42900. After we will calculate the factors of 42880 and 42900 and find the biggest common factor number .

Step-1: Prime Factorization of 42880

Prime factors of 42880 are 2, 5, 67. Prime factorization of 42880 in exponential form is:

42880 = 2⁷ × 5¹ × 67¹

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 42880

List of positive integer factors of 42880 that divides 42880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 128, 134, 160, 268, 320, 335, 536, 640, 670, 1072, 1340, 2144, 2680, 4288, 5360, 8576, 10720, 21440

Step-4: Factors of 42900

List of positive integer factors of 42900 that divides 42880 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 42880 and 42900. The biggest common factor number is the GCF number.
So the greatest common factor 42880 and 42900 is 20.

Also check out the Least Common Multiple of 42880 and 42900