What is the Greatest Common Factor of 29742 and 29758?

Greatest common factor (GCF) of 29742 and 29758 is 2.

GCF(29742,29758) = 2

We will now calculate the prime factors of 29742 and 29758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29742 and 29758.

How to find the GCF of 29742 and 29758?

We will first find the prime factorization of 29742 and 29758. After we will calculate the factors of 29742 and 29758 and find the biggest common factor number .

Step-1: Prime Factorization of 29742

Prime factors of 29742 are 2, 3, 4957. Prime factorization of 29742 in exponential form is:

29742 = 2¹ × 3¹ × 4957¹

Step-2: Prime Factorization of 29758

Prime factors of 29758 are 2, 14879. Prime factorization of 29758 in exponential form is:

29758 = 2¹ × 14879¹

Step-3: Factors of 29742

List of positive integer factors of 29742 that divides 29742 without a remainder.

1, 2, 3, 6, 4957, 9914, 14871

Step-4: Factors of 29758

List of positive integer factors of 29758 that divides 29742 without a remainder.

1, 2, 14879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29742 and 29758. The biggest common factor number is the GCF number.
So the greatest common factor 29742 and 29758 is 2.

Also check out the Least Common Multiple of 29742 and 29758