What is the Greatest Common Factor of 2142 and 2152?

Greatest common factor (GCF) of 2142 and 2152 is 2.

GCF(2142,2152) = 2

We will now calculate the prime factors of 2142 and 2152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2142 and 2152.

How to find the GCF of 2142 and 2152?

We will first find the prime factorization of 2142 and 2152. After we will calculate the factors of 2142 and 2152 and find the biggest common factor number .

Step-1: Prime Factorization of 2142

Prime factors of 2142 are 2, 3, 7, 17. Prime factorization of 2142 in exponential form is:

2142 = 2¹ × 3² × 7¹ × 17¹

Step-2: Prime Factorization of 2152

Prime factors of 2152 are 2, 269. Prime factorization of 2152 in exponential form is:

2152 = 2³ × 269¹

Step-3: Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071

Step-4: Factors of 2152

List of positive integer factors of 2152 that divides 2142 without a remainder.

1, 2, 4, 8, 269, 538, 1076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2142 and 2152. The biggest common factor number is the GCF number.
So the greatest common factor 2142 and 2152 is 2.

Also check out the Least Common Multiple of 2142 and 2152