What is the Greatest Common Factor of 2618 and 2632?

Greatest common factor (GCF) of 2618 and 2632 is 14.

GCF(2618,2632) = 14

We will now calculate the prime factors of 2618 and 2632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2618 and 2632.

How to find the GCF of 2618 and 2632?

We will first find the prime factorization of 2618 and 2632. After we will calculate the factors of 2618 and 2632 and find the biggest common factor number .

Step-1: Prime Factorization of 2618

Prime factors of 2618 are 2, 7, 11, 17. Prime factorization of 2618 in exponential form is:

2618 = 2¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 2632

Prime factors of 2632 are 2, 7, 47. Prime factorization of 2632 in exponential form is:

2632 = 2³ × 7¹ × 47¹

Step-3: Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309

Step-4: Factors of 2632

List of positive integer factors of 2632 that divides 2618 without a remainder.

1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2618 and 2632. The biggest common factor number is the GCF number.
So the greatest common factor 2618 and 2632 is 14.

Also check out the Least Common Multiple of 2618 and 2632