What is the Greatest Common Factor of 2616 and 2626?

Greatest common factor (GCF) of 2616 and 2626 is 2.

GCF(2616,2626) = 2

We will now calculate the prime factors of 2616 and 2626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2616 and 2626.

How to find the GCF of 2616 and 2626?

We will first find the prime factorization of 2616 and 2626. After we will calculate the factors of 2616 and 2626 and find the biggest common factor number .

Step-1: Prime Factorization of 2616

Prime factors of 2616 are 2, 3, 109. Prime factorization of 2616 in exponential form is:

2616 = 2³ × 3¹ × 109¹

Step-2: Prime Factorization of 2626

Prime factors of 2626 are 2, 13, 101. Prime factorization of 2626 in exponential form is:

2626 = 2¹ × 13¹ × 101¹

Step-3: Factors of 2616

List of positive integer factors of 2616 that divides 2616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308

Step-4: Factors of 2626

List of positive integer factors of 2626 that divides 2616 without a remainder.

1, 2, 13, 26, 101, 202, 1313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2616 and 2626. The biggest common factor number is the GCF number.
So the greatest common factor 2616 and 2626 is 2.

Also check out the Least Common Multiple of 2616 and 2626