What is the Greatest Common Factor of 75610 and 75615?

Greatest common factor (GCF) of 75610 and 75615 is 5.

GCF(75610,75615) = 5

We will now calculate the prime factors of 75610 and 75615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75610 and 75615.

How to find the GCF of 75610 and 75615?

We will first find the prime factorization of 75610 and 75615. After we will calculate the factors of 75610 and 75615 and find the biggest common factor number .

Step-1: Prime Factorization of 75610

Prime factors of 75610 are 2, 5, 7561. Prime factorization of 75610 in exponential form is:

75610 = 2¹ × 5¹ × 7561¹

Step-2: Prime Factorization of 75615

Prime factors of 75615 are 3, 5, 71. Prime factorization of 75615 in exponential form is:

75615 = 3¹ × 5¹ × 71²

Step-3: Factors of 75610

List of positive integer factors of 75610 that divides 75610 without a remainder.

1, 2, 5, 10, 7561, 15122, 37805

Step-4: Factors of 75615

List of positive integer factors of 75615 that divides 75610 without a remainder.

1, 3, 5, 15, 71, 213, 355, 1065, 5041, 15123, 25205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75610 and 75615. The biggest common factor number is the GCF number.
So the greatest common factor 75610 and 75615 is 5.

Also check out the Least Common Multiple of 75610 and 75615