What is the Greatest Common Factor of 42900 and 42915?

Greatest common factor (GCF) of 42900 and 42915 is 15.

GCF(42900,42915) = 15

We will now calculate the prime factors of 42900 and 42915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42900 and 42915.

How to find the GCF of 42900 and 42915?

We will first find the prime factorization of 42900 and 42915. After we will calculate the factors of 42900 and 42915 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 42915

Prime factors of 42915 are 3, 5, 2861. Prime factorization of 42915 in exponential form is:

42915 = 3¹ × 5¹ × 2861¹

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 42915

List of positive integer factors of 42915 that divides 42900 without a remainder.

1, 3, 5, 15, 2861, 8583, 14305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42900 and 42915. The biggest common factor number is the GCF number.
So the greatest common factor 42900 and 42915 is 15.

Also check out the Least Common Multiple of 42900 and 42915