What is the Greatest Common Factor of 74774 and 74788?

Greatest common factor (GCF) of 74774 and 74788 is 14.

GCF(74774,74788) = 14

We will now calculate the prime factors of 74774 and 74788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74774 and 74788.

How to find the GCF of 74774 and 74788?

We will first find the prime factorization of 74774 and 74788. After we will calculate the factors of 74774 and 74788 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 74788

Prime factors of 74788 are 2, 7, 2671. Prime factorization of 74788 in exponential form is:

74788 = 2² × 7¹ × 2671¹

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 74788

List of positive integer factors of 74788 that divides 74774 without a remainder.

1, 2, 4, 7, 14, 28, 2671, 5342, 10684, 18697, 37394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74774 and 74788. The biggest common factor number is the GCF number.
So the greatest common factor 74774 and 74788 is 14.

Also check out the Least Common Multiple of 74774 and 74788