What is the Greatest Common Factor of 2142 and 2157?

Greatest common factor (GCF) of 2142 and 2157 is 3.

GCF(2142,2157) = 3

We will now calculate the prime factors of 2142 and 2157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2142 and 2157.

How to find the GCF of 2142 and 2157?

We will first find the prime factorization of 2142 and 2157. After we will calculate the factors of 2142 and 2157 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 2157

Prime factors of 2157 are 3, 719. Prime factorization of 2157 in exponential form is:

2157 = 3¹ × 719¹

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 2157

List of positive integer factors of 2157 that divides 2142 without a remainder.

1, 3, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2142 and 2157. The biggest common factor number is the GCF number.
So the greatest common factor 2142 and 2157 is 3.

Also check out the Least Common Multiple of 2142 and 2157