What is the Greatest Common Factor of 7640 and 7652?

Greatest common factor (GCF) of 7640 and 7652 is 4.

GCF(7640,7652) = 4

We will now calculate the prime factors of 7640 and 7652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7640 and 7652.

How to find the GCF of 7640 and 7652?

We will first find the prime factorization of 7640 and 7652. After we will calculate the factors of 7640 and 7652 and find the biggest common factor number .

Step-1: Prime Factorization of 7640

Prime factors of 7640 are 2, 5, 191. Prime factorization of 7640 in exponential form is:

7640 = 2³ × 5¹ × 191¹

Step-2: Prime Factorization of 7652

Prime factors of 7652 are 2, 1913. Prime factorization of 7652 in exponential form is:

7652 = 2² × 1913¹

Step-3: Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820

Step-4: Factors of 7652

List of positive integer factors of 7652 that divides 7640 without a remainder.

1, 2, 4, 1913, 3826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7640 and 7652. The biggest common factor number is the GCF number.
So the greatest common factor 7640 and 7652 is 4.

Also check out the Least Common Multiple of 7640 and 7652