What is the Greatest Common Factor of 2140 and 2145?

Greatest common factor (GCF) of 2140 and 2145 is 5.

GCF(2140,2145) = 5

We will now calculate the prime factors of 2140 and 2145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2140 and 2145.

How to find the GCF of 2140 and 2145?

We will first find the prime factorization of 2140 and 2145. After we will calculate the factors of 2140 and 2145 and find the biggest common factor number .

Step-1: Prime Factorization of 2140

Prime factors of 2140 are 2, 5, 107. Prime factorization of 2140 in exponential form is:

2140 = 2² × 5¹ × 107¹

Step-2: Prime Factorization of 2145

Prime factors of 2145 are 3, 5, 11, 13. Prime factorization of 2145 in exponential form is:

2145 = 3¹ × 5¹ × 11¹ × 13¹

Step-3: Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070

Step-4: Factors of 2145

List of positive integer factors of 2145 that divides 2140 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2140 and 2145. The biggest common factor number is the GCF number.
So the greatest common factor 2140 and 2145 is 5.

Also check out the Least Common Multiple of 2140 and 2145