What is the Greatest Common Factor of 7610 and 7615?

Greatest common factor (GCF) of 7610 and 7615 is 5.

GCF(7610,7615) = 5

We will now calculate the prime factors of 7610 and 7615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7610 and 7615.

How to find the GCF of 7610 and 7615?

We will first find the prime factorization of 7610 and 7615. After we will calculate the factors of 7610 and 7615 and find the biggest common factor number .

Step-1: Prime Factorization of 7610

Prime factors of 7610 are 2, 5, 761. Prime factorization of 7610 in exponential form is:

7610 = 2¹ × 5¹ × 761¹

Step-2: Prime Factorization of 7615

Prime factors of 7615 are 5, 1523. Prime factorization of 7615 in exponential form is:

7615 = 5¹ × 1523¹

Step-3: Factors of 7610

List of positive integer factors of 7610 that divides 7610 without a remainder.

1, 2, 5, 10, 761, 1522, 3805

Step-4: Factors of 7615

List of positive integer factors of 7615 that divides 7610 without a remainder.

1, 5, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7610 and 7615. The biggest common factor number is the GCF number.
So the greatest common factor 7610 and 7615 is 5.

Also check out the Least Common Multiple of 7610 and 7615