What is the Greatest Common Factor of 42780 and 42795?

Greatest common factor (GCF) of 42780 and 42795 is 15.

GCF(42780,42795) = 15

We will now calculate the prime factors of 42780 and 42795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42780 and 42795.

How to find the GCF of 42780 and 42795?

We will first find the prime factorization of 42780 and 42795. After we will calculate the factors of 42780 and 42795 and find the biggest common factor number .

Step-1: Prime Factorization of 42780

Prime factors of 42780 are 2, 3, 5, 23, 31. Prime factorization of 42780 in exponential form is:

42780 = 2² × 3¹ × 5¹ × 23¹ × 31¹

Step-2: Prime Factorization of 42795

Prime factors of 42795 are 3, 5, 317. Prime factorization of 42795 in exponential form is:

42795 = 3³ × 5¹ × 317¹

Step-3: Factors of 42780

List of positive integer factors of 42780 that divides 42780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 31, 46, 60, 62, 69, 92, 93, 115, 124, 138, 155, 186, 230, 276, 310, 345, 372, 460, 465, 620, 690, 713, 930, 1380, 1426, 1860, 2139, 2852, 3565, 4278, 7130, 8556, 10695, 14260, 21390

Step-4: Factors of 42795

List of positive integer factors of 42795 that divides 42780 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 317, 951, 1585, 2853, 4755, 8559, 14265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42780 and 42795. The biggest common factor number is the GCF number.
So the greatest common factor 42780 and 42795 is 15.

Also check out the Least Common Multiple of 42780 and 42795