What is the Greatest Common Factor of 7616 and 7633?

Greatest common factor (GCF) of 7616 and 7633 is 17.

GCF(7616,7633) = 17

We will now calculate the prime factors of 7616 and 7633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7616 and 7633.

How to find the GCF of 7616 and 7633?

We will first find the prime factorization of 7616 and 7633. After we will calculate the factors of 7616 and 7633 and find the biggest common factor number .

Step-1: Prime Factorization of 7616

Prime factors of 7616 are 2, 7, 17. Prime factorization of 7616 in exponential form is:

7616 = 2⁶ × 7¹ × 17¹

Step-2: Prime Factorization of 7633

Prime factors of 7633 are 17, 449. Prime factorization of 7633 in exponential form is:

7633 = 17¹ × 449¹

Step-3: Factors of 7616

List of positive integer factors of 7616 that divides 7616 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808

Step-4: Factors of 7633

List of positive integer factors of 7633 that divides 7616 without a remainder.

1, 17, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7616 and 7633. The biggest common factor number is the GCF number.
So the greatest common factor 7616 and 7633 is 17.

Also check out the Least Common Multiple of 7616 and 7633