What is the Greatest Common Factor of 74770 and 74774?

Greatest common factor (GCF) of 74770 and 74774 is 2.

GCF(74770,74774) = 2

We will now calculate the prime factors of 74770 and 74774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74770 and 74774.

How to find the GCF of 74770 and 74774?

We will first find the prime factorization of 74770 and 74774. After we will calculate the factors of 74770 and 74774 and find the biggest common factor number .

Step-1: Prime Factorization of 74770

Prime factors of 74770 are 2, 5, 7477. Prime factorization of 74770 in exponential form is:

74770 = 2¹ × 5¹ × 7477¹

Step-2: 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-3: Factors of 74770

List of positive integer factors of 74770 that divides 74770 without a remainder.

1, 2, 5, 10, 7477, 14954, 37385

Step-4: Factors of 74774

List of positive integer factors of 74774 that divides 74770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74770 and 74774. The biggest common factor number is the GCF number.
So the greatest common factor 74770 and 74774 is 2.

Also check out the Least Common Multiple of 74770 and 74774