What is the Greatest Common Factor of 74774 and 74780?

Greatest common factor (GCF) of 74774 and 74780 is 2.

GCF(74774,74780) = 2

We will now calculate the prime factors of 74774 and 74780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74774 and 74780.

How to find the GCF of 74774 and 74780?

We will first find the prime factorization of 74774 and 74780. After we will calculate the factors of 74774 and 74780 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 74780

Prime factors of 74780 are 2, 5, 3739. Prime factorization of 74780 in exponential form is:

74780 = 2² × 5¹ × 3739¹

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 74780

List of positive integer factors of 74780 that divides 74774 without a remainder.

1, 2, 4, 5, 10, 20, 3739, 7478, 14956, 18695, 37390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74774 and 74780. The biggest common factor number is the GCF number.
So the greatest common factor 74774 and 74780 is 2.

Also check out the Least Common Multiple of 74774 and 74780