What is the Greatest Common Factor of 79774 and 79784?

Greatest common factor (GCF) of 79774 and 79784 is 2.

GCF(79774,79784) = 2

We will now calculate the prime factors of 79774 and 79784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79774 and 79784.

How to find the GCF of 79774 and 79784?

We will first find the prime factorization of 79774 and 79784. After we will calculate the factors of 79774 and 79784 and find the biggest common factor number .

Step-1: Prime Factorization of 79774

Prime factors of 79774 are 2, 39887. Prime factorization of 79774 in exponential form is:

79774 = 2¹ × 39887¹

Step-2: Prime Factorization of 79784

Prime factors of 79784 are 2, 9973. Prime factorization of 79784 in exponential form is:

79784 = 2³ × 9973¹

Step-3: Factors of 79774

List of positive integer factors of 79774 that divides 79774 without a remainder.

1, 2, 39887

Step-4: Factors of 79784

List of positive integer factors of 79784 that divides 79774 without a remainder.

1, 2, 4, 8, 9973, 19946, 39892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79774 and 79784. The biggest common factor number is the GCF number.
So the greatest common factor 79774 and 79784 is 2.

Also check out the Least Common Multiple of 79774 and 79784