What is the Greatest Common Factor of 7460 and 7465?

Greatest common factor (GCF) of 7460 and 7465 is 5.

GCF(7460,7465) = 5

We will now calculate the prime factors of 7460 and 7465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7460 and 7465.

How to find the GCF of 7460 and 7465?

We will first find the prime factorization of 7460 and 7465. After we will calculate the factors of 7460 and 7465 and find the biggest common factor number .

Step-1: Prime Factorization of 7460

Prime factors of 7460 are 2, 5, 373. Prime factorization of 7460 in exponential form is:

7460 = 2² × 5¹ × 373¹

Step-2: Prime Factorization of 7465

Prime factors of 7465 are 5, 1493. Prime factorization of 7465 in exponential form is:

7465 = 5¹ × 1493¹

Step-3: Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730

Step-4: Factors of 7465

List of positive integer factors of 7465 that divides 7460 without a remainder.

1, 5, 1493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7460 and 7465. The biggest common factor number is the GCF number.
So the greatest common factor 7460 and 7465 is 5.

Also check out the Least Common Multiple of 7460 and 7465