What is the Greatest Common Factor of 7505 and 7520?

Greatest common factor (GCF) of 7505 and 7520 is 5.

GCF(7505,7520) = 5

We will now calculate the prime factors of 7505 and 7520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7505 and 7520.

How to find the GCF of 7505 and 7520?

We will first find the prime factorization of 7505 and 7520. After we will calculate the factors of 7505 and 7520 and find the biggest common factor number .

Step-1: Prime Factorization of 7505

Prime factors of 7505 are 5, 19, 79. Prime factorization of 7505 in exponential form is:

7505 = 5¹ × 19¹ × 79¹

Step-2: Prime Factorization of 7520

Prime factors of 7520 are 2, 5, 47. Prime factorization of 7520 in exponential form is:

7520 = 2⁵ × 5¹ × 47¹

Step-3: Factors of 7505

List of positive integer factors of 7505 that divides 7505 without a remainder.

1, 5, 19, 79, 95, 395, 1501

Step-4: Factors of 7520

List of positive integer factors of 7520 that divides 7505 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7505 and 7520. The biggest common factor number is the GCF number.
So the greatest common factor 7505 and 7520 is 5.

Also check out the Least Common Multiple of 7505 and 7520