What is the Greatest Common Factor of 42759 and 42776?

Greatest common factor (GCF) of 42759 and 42776 is 1.

GCF(42759,42776) = 1

We will now calculate the prime factors of 42759 and 42776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42759 and 42776.

How to find the GCF of 42759 and 42776?

We will first find the prime factorization of 42759 and 42776. After we will calculate the factors of 42759 and 42776 and find the biggest common factor number .

Step-1: Prime Factorization of 42759

Prime factors of 42759 are 3, 4751. Prime factorization of 42759 in exponential form is:

42759 = 3² × 4751¹

Step-2: Prime Factorization of 42776

Prime factors of 42776 are 2, 5347. Prime factorization of 42776 in exponential form is:

42776 = 2³ × 5347¹

Step-3: Factors of 42759

List of positive integer factors of 42759 that divides 42759 without a remainder.

1, 3, 9, 4751, 14253

Step-4: Factors of 42776

List of positive integer factors of 42776 that divides 42759 without a remainder.

1, 2, 4, 8, 5347, 10694, 21388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42759 and 42776. The biggest common factor number is the GCF number.
So the greatest common factor 42759 and 42776 is 1.

Also check out the Least Common Multiple of 42759 and 42776