What is the Greatest Common Factor of 14952 and 14966?

Greatest common factor (GCF) of 14952 and 14966 is 14.

GCF(14952,14966) = 14

We will now calculate the prime factors of 14952 and 14966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14952 and 14966.

How to find the GCF of 14952 and 14966?

We will first find the prime factorization of 14952 and 14966. After we will calculate the factors of 14952 and 14966 and find the biggest common factor number .

Step-1: Prime Factorization of 14952

Prime factors of 14952 are 2, 3, 7, 89. Prime factorization of 14952 in exponential form is:

14952 = 2³ × 3¹ × 7¹ × 89¹

Step-2: Prime Factorization of 14966

Prime factors of 14966 are 2, 7, 1069. Prime factorization of 14966 in exponential form is:

14966 = 2¹ × 7¹ × 1069¹

Step-3: Factors of 14952

List of positive integer factors of 14952 that divides 14952 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 89, 168, 178, 267, 356, 534, 623, 712, 1068, 1246, 1869, 2136, 2492, 3738, 4984, 7476

Step-4: Factors of 14966

List of positive integer factors of 14966 that divides 14952 without a remainder.

1, 2, 7, 14, 1069, 2138, 7483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14952 and 14966. The biggest common factor number is the GCF number.
So the greatest common factor 14952 and 14966 is 14.

Also check out the Least Common Multiple of 14952 and 14966