What is the Greatest Common Factor of 14762 and 14774?

Greatest common factor (GCF) of 14762 and 14774 is 2.

GCF(14762,14774) = 2

We will now calculate the prime factors of 14762 and 14774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14762 and 14774.

How to find the GCF of 14762 and 14774?

We will first find the prime factorization of 14762 and 14774. After we will calculate the factors of 14762 and 14774 and find the biggest common factor number .

Step-1: Prime Factorization of 14762

Prime factors of 14762 are 2, 11, 61. Prime factorization of 14762 in exponential form is:

14762 = 2¹ × 11² × 61¹

Step-2: 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-3: Factors of 14762

List of positive integer factors of 14762 that divides 14762 without a remainder.

1, 2, 11, 22, 61, 121, 122, 242, 671, 1342, 7381

Step-4: Factors of 14774

List of positive integer factors of 14774 that divides 14762 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14762 and 14774. The biggest common factor number is the GCF number.
So the greatest common factor 14762 and 14774 is 2.

Also check out the Least Common Multiple of 14762 and 14774