What is the Greatest Common Factor of 42780 and 42791?

Greatest common factor (GCF) of 42780 and 42791 is 1.

GCF(42780,42791) = 1

We will now calculate the prime factors of 42780 and 42791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42780 and 42791.

How to find the GCF of 42780 and 42791?

We will first find the prime factorization of 42780 and 42791. After we will calculate the factors of 42780 and 42791 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 42791

Prime factors of 42791 are 7, 6113. Prime factorization of 42791 in exponential form is:

42791 = 7¹ × 6113¹

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 42791

List of positive integer factors of 42791 that divides 42780 without a remainder.

1, 7, 6113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42780 and 42791. The biggest common factor number is the GCF number.
So the greatest common factor 42780 and 42791 is 1.

Also check out the Least Common Multiple of 42780 and 42791