What is the Greatest Common Factor of 14774 and 14780?

Greatest common factor (GCF) of 14774 and 14780 is 2.

GCF(14774,14780) = 2

We will now calculate the prime factors of 14774 and 14780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14774 and 14780.

How to find the GCF of 14774 and 14780?

We will first find the prime factorization of 14774 and 14780. After we will calculate the factors of 14774 and 14780 and find the biggest common factor number .

Step-1: Prime Factorization of 14774

Prime factors of 14774 are 2, 83, 89. Prime factorization of 14774 in exponential form is:

14774 = 2¹ × 83¹ × 89¹

Step-2: Prime Factorization of 14780

Prime factors of 14780 are 2, 5, 739. Prime factorization of 14780 in exponential form is:

14780 = 2² × 5¹ × 739¹

Step-3: Factors of 14774

List of positive integer factors of 14774 that divides 14774 without a remainder.

1, 2, 83, 89, 166, 178, 7387

Step-4: Factors of 14780

List of positive integer factors of 14780 that divides 14774 without a remainder.

1, 2, 4, 5, 10, 20, 739, 1478, 2956, 3695, 7390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14774 and 14780. The biggest common factor number is the GCF number.
So the greatest common factor 14774 and 14780 is 2.

Also check out the Least Common Multiple of 14774 and 14780