What is the Greatest Common Factor of 74774 and 74779?

Greatest common factor (GCF) of 74774 and 74779 is 1.

GCF(74774,74779) = 1

We will now calculate the prime factors of 74774 and 74779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74774 and 74779.

How to find the GCF of 74774 and 74779?

We will first find the prime factorization of 74774 and 74779. After we will calculate the factors of 74774 and 74779 and find the biggest common factor number .

Step-1: Prime Factorization of 74774

Prime factors of 74774 are 2, 7, 109. Prime factorization of 74774 in exponential form is:

74774 = 2¹ × 7³ × 109¹

Step-2: Prime Factorization of 74779

Prime factors of 74779 are 74779. Prime factorization of 74779 in exponential form is:

74779 = 74779¹

Step-3: Factors of 74774

List of positive integer factors of 74774 that divides 74774 without a remainder.

1, 2, 7, 14, 49, 98, 109, 218, 343, 686, 763, 1526, 5341, 10682, 37387

Step-4: Factors of 74779

List of positive integer factors of 74779 that divides 74774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74774 and 74779. The biggest common factor number is the GCF number.
So the greatest common factor 74774 and 74779 is 1.

Also check out the Least Common Multiple of 74774 and 74779