What is the Greatest Common Factor of 14672 and 14692?

Greatest common factor (GCF) of 14672 and 14692 is 4.

GCF(14672,14692) = 4

We will now calculate the prime factors of 14672 and 14692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14672 and 14692.

How to find the GCF of 14672 and 14692?

We will first find the prime factorization of 14672 and 14692. After we will calculate the factors of 14672 and 14692 and find the biggest common factor number .

Step-1: Prime Factorization of 14672

Prime factors of 14672 are 2, 7, 131. Prime factorization of 14672 in exponential form is:

14672 = 2⁴ × 7¹ × 131¹

Step-2: Prime Factorization of 14692

Prime factors of 14692 are 2, 3673. Prime factorization of 14692 in exponential form is:

14692 = 2² × 3673¹

Step-3: Factors of 14672

List of positive integer factors of 14672 that divides 14672 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 131, 262, 524, 917, 1048, 1834, 2096, 3668, 7336

Step-4: Factors of 14692

List of positive integer factors of 14692 that divides 14672 without a remainder.

1, 2, 4, 3673, 7346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14672 and 14692. The biggest common factor number is the GCF number.
So the greatest common factor 14672 and 14692 is 4.

Also check out the Least Common Multiple of 14672 and 14692