What is the Greatest Common Factor of 2154 and 2170?

Greatest common factor (GCF) of 2154 and 2170 is 2.

GCF(2154,2170) = 2

We will now calculate the prime factors of 2154 and 2170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2154 and 2170.

How to find the GCF of 2154 and 2170?

We will first find the prime factorization of 2154 and 2170. After we will calculate the factors of 2154 and 2170 and find the biggest common factor number .

Step-1: Prime Factorization of 2154

Prime factors of 2154 are 2, 3, 359. Prime factorization of 2154 in exponential form is:

2154 = 2¹ × 3¹ × 359¹

Step-2: Prime Factorization of 2170

Prime factors of 2170 are 2, 5, 7, 31. Prime factorization of 2170 in exponential form is:

2170 = 2¹ × 5¹ × 7¹ × 31¹

Step-3: Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1, 2, 3, 6, 359, 718, 1077

Step-4: Factors of 2170

List of positive integer factors of 2170 that divides 2154 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2154 and 2170. The biggest common factor number is the GCF number.
So the greatest common factor 2154 and 2170 is 2.

Also check out the Least Common Multiple of 2154 and 2170