What is the Greatest Common Factor of 79742 and 79749?

Greatest common factor (GCF) of 79742 and 79749 is 1.

GCF(79742,79749) = 1

We will now calculate the prime factors of 79742 and 79749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79742 and 79749.

How to find the GCF of 79742 and 79749?

We will first find the prime factorization of 79742 and 79749. After we will calculate the factors of 79742 and 79749 and find the biggest common factor number .

Step-1: Prime Factorization of 79742

Prime factors of 79742 are 2, 13, 3067. Prime factorization of 79742 in exponential form is:

79742 = 2¹ × 13¹ × 3067¹

Step-2: Prime Factorization of 79749

Prime factors of 79749 are 3, 8861. Prime factorization of 79749 in exponential form is:

79749 = 3² × 8861¹

Step-3: Factors of 79742

List of positive integer factors of 79742 that divides 79742 without a remainder.

1, 2, 13, 26, 3067, 6134, 39871

Step-4: Factors of 79749

List of positive integer factors of 79749 that divides 79742 without a remainder.

1, 3, 9, 8861, 26583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79742 and 79749. The biggest common factor number is the GCF number.
So the greatest common factor 79742 and 79749 is 1.

Also check out the Least Common Multiple of 79742 and 79749