What is the Greatest Common Factor of 2742 and 2759?

Greatest common factor (GCF) of 2742 and 2759 is 1.

GCF(2742,2759) = 1

We will now calculate the prime factors of 2742 and 2759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2742 and 2759.

How to find the GCF of 2742 and 2759?

We will first find the prime factorization of 2742 and 2759. After we will calculate the factors of 2742 and 2759 and find the biggest common factor number .

Step-1: Prime Factorization of 2742

Prime factors of 2742 are 2, 3, 457. Prime factorization of 2742 in exponential form is:

2742 = 2¹ × 3¹ × 457¹

Step-2: Prime Factorization of 2759

Prime factors of 2759 are 31, 89. Prime factorization of 2759 in exponential form is:

2759 = 31¹ × 89¹

Step-3: Factors of 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1, 2, 3, 6, 457, 914, 1371

Step-4: Factors of 2759

List of positive integer factors of 2759 that divides 2742 without a remainder.

1, 31, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2742 and 2759. The biggest common factor number is the GCF number.
So the greatest common factor 2742 and 2759 is 1.

Also check out the Least Common Multiple of 2742 and 2759