What is the Greatest Common Factor of 14952 and 14961?

Greatest common factor (GCF) of 14952 and 14961 is 3.

GCF(14952,14961) = 3

We will now calculate the prime factors of 14952 and 14961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14952 and 14961.

How to find the GCF of 14952 and 14961?

We will first find the prime factorization of 14952 and 14961. After we will calculate the factors of 14952 and 14961 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 14961

Prime factors of 14961 are 3, 4987. Prime factorization of 14961 in exponential form is:

14961 = 3¹ × 4987¹

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 14961

List of positive integer factors of 14961 that divides 14952 without a remainder.

1, 3, 4987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14952 and 14961. The biggest common factor number is the GCF number.
So the greatest common factor 14952 and 14961 is 3.

Also check out the Least Common Multiple of 14952 and 14961