What is the Greatest Common Factor of 7602 and 7616?

Greatest common factor (GCF) of 7602 and 7616 is 14.

GCF(7602,7616) = 14

We will now calculate the prime factors of 7602 and 7616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7602 and 7616.

How to find the GCF of 7602 and 7616?

We will first find the prime factorization of 7602 and 7616. After we will calculate the factors of 7602 and 7616 and find the biggest common factor number .

Step-1: Prime Factorization of 7602

Prime factors of 7602 are 2, 3, 7, 181. Prime factorization of 7602 in exponential form is:

7602 = 2¹ × 3¹ × 7¹ × 181¹

Step-2: 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-3: Factors of 7602

List of positive integer factors of 7602 that divides 7602 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801

Step-4: Factors of 7616

List of positive integer factors of 7616 that divides 7602 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7602 and 7616. The biggest common factor number is the GCF number.
So the greatest common factor 7602 and 7616 is 14.

Also check out the Least Common Multiple of 7602 and 7616