What is the Greatest Common Factor of 42760 and 42780?

Greatest common factor (GCF) of 42760 and 42780 is 20.

GCF(42760,42780) = 20

We will now calculate the prime factors of 42760 and 42780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42760 and 42780.

How to find the GCF of 42760 and 42780?

We will first find the prime factorization of 42760 and 42780. After we will calculate the factors of 42760 and 42780 and find the biggest common factor number .

Step-1: Prime Factorization of 42760

Prime factors of 42760 are 2, 5, 1069. Prime factorization of 42760 in exponential form is:

42760 = 2³ × 5¹ × 1069¹

Step-2: 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-3: Factors of 42760

List of positive integer factors of 42760 that divides 42760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1069, 2138, 4276, 5345, 8552, 10690, 21380

Step-4: Factors of 42780

List of positive integer factors of 42780 that divides 42760 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42760 and 42780. The biggest common factor number is the GCF number.
So the greatest common factor 42760 and 42780 is 20.

Also check out the Least Common Multiple of 42760 and 42780