What is the Greatest Common Factor of 14472 and 14492?

Greatest common factor (GCF) of 14472 and 14492 is 4.

GCF(14472,14492) = 4

We will now calculate the prime factors of 14472 and 14492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14472 and 14492.

How to find the GCF of 14472 and 14492?

We will first find the prime factorization of 14472 and 14492. After we will calculate the factors of 14472 and 14492 and find the biggest common factor number .

Step-1: Prime Factorization of 14472

Prime factors of 14472 are 2, 3, 67. Prime factorization of 14472 in exponential form is:

14472 = 2³ × 3³ × 67¹

Step-2: Prime Factorization of 14492

Prime factors of 14492 are 2, 3623. Prime factorization of 14492 in exponential form is:

14492 = 2² × 3623¹

Step-3: Factors of 14472

List of positive integer factors of 14472 that divides 14472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 67, 72, 108, 134, 201, 216, 268, 402, 536, 603, 804, 1206, 1608, 1809, 2412, 3618, 4824, 7236

Step-4: Factors of 14492

List of positive integer factors of 14492 that divides 14472 without a remainder.

1, 2, 4, 3623, 7246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14472 and 14492. The biggest common factor number is the GCF number.
So the greatest common factor 14472 and 14492 is 4.

Also check out the Least Common Multiple of 14472 and 14492