What is the Greatest Common Factor of 7611 and 7629?

Greatest common factor (GCF) of 7611 and 7629 is 3.

GCF(7611,7629) = 3

We will now calculate the prime factors of 7611 and 7629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7611 and 7629.

How to find the GCF of 7611 and 7629?

We will first find the prime factorization of 7611 and 7629. After we will calculate the factors of 7611 and 7629 and find the biggest common factor number .

Step-1: Prime Factorization of 7611

Prime factors of 7611 are 3, 43, 59. Prime factorization of 7611 in exponential form is:

7611 = 3¹ × 43¹ × 59¹

Step-2: Prime Factorization of 7629

Prime factors of 7629 are 3, 2543. Prime factorization of 7629 in exponential form is:

7629 = 3¹ × 2543¹

Step-3: Factors of 7611

List of positive integer factors of 7611 that divides 7611 without a remainder.

1, 3, 43, 59, 129, 177, 2537

Step-4: Factors of 7629

List of positive integer factors of 7629 that divides 7611 without a remainder.

1, 3, 2543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7611 and 7629. The biggest common factor number is the GCF number.
So the greatest common factor 7611 and 7629 is 3.

Also check out the Least Common Multiple of 7611 and 7629