What is the Greatest Common Factor of 14142 and 14152?

Greatest common factor (GCF) of 14142 and 14152 is 2.

GCF(14142,14152) = 2

We will now calculate the prime factors of 14142 and 14152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14142 and 14152.

How to find the GCF of 14142 and 14152?

We will first find the prime factorization of 14142 and 14152. After we will calculate the factors of 14142 and 14152 and find the biggest common factor number .

Step-1: Prime Factorization of 14142

Prime factors of 14142 are 2, 3, 2357. Prime factorization of 14142 in exponential form is:

14142 = 2¹ × 3¹ × 2357¹

Step-2: Prime Factorization of 14152

Prime factors of 14152 are 2, 29, 61. Prime factorization of 14152 in exponential form is:

14152 = 2³ × 29¹ × 61¹

Step-3: Factors of 14142

List of positive integer factors of 14142 that divides 14142 without a remainder.

1, 2, 3, 6, 2357, 4714, 7071

Step-4: Factors of 14152

List of positive integer factors of 14152 that divides 14142 without a remainder.

1, 2, 4, 8, 29, 58, 61, 116, 122, 232, 244, 488, 1769, 3538, 7076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14142 and 14152. The biggest common factor number is the GCF number.
So the greatest common factor 14142 and 14152 is 2.

Also check out the Least Common Multiple of 14142 and 14152