What is the Greatest Common Factor of 42900 and 42919?

Greatest common factor (GCF) of 42900 and 42919 is 1.

GCF(42900,42919) = 1

We will now calculate the prime factors of 42900 and 42919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42900 and 42919.

How to find the GCF of 42900 and 42919?

We will first find the prime factorization of 42900 and 42919. After we will calculate the factors of 42900 and 42919 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 42919

Prime factors of 42919 are 167, 257. Prime factorization of 42919 in exponential form is:

42919 = 167¹ × 257¹

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 42919

List of positive integer factors of 42919 that divides 42900 without a remainder.

1, 167, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42900 and 42919. The biggest common factor number is the GCF number.
So the greatest common factor 42900 and 42919 is 1.

Also check out the Least Common Multiple of 42900 and 42919