What is the Greatest Common Factor of 7648 and 7658?

Greatest common factor (GCF) of 7648 and 7658 is 2.

GCF(7648,7658) = 2

We will now calculate the prime factors of 7648 and 7658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7648 and 7658.

How to find the GCF of 7648 and 7658?

We will first find the prime factorization of 7648 and 7658. After we will calculate the factors of 7648 and 7658 and find the biggest common factor number .

Step-1: Prime Factorization of 7648

Prime factors of 7648 are 2, 239. Prime factorization of 7648 in exponential form is:

7648 = 2⁵ × 239¹

Step-2: Prime Factorization of 7658

Prime factors of 7658 are 2, 7, 547. Prime factorization of 7658 in exponential form is:

7658 = 2¹ × 7¹ × 547¹

Step-3: Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824

Step-4: Factors of 7658

List of positive integer factors of 7658 that divides 7648 without a remainder.

1, 2, 7, 14, 547, 1094, 3829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7648 and 7658. The biggest common factor number is the GCF number.
So the greatest common factor 7648 and 7658 is 2.

Also check out the Least Common Multiple of 7648 and 7658