What is the Greatest Common Factor of 60765 and 60775?

Greatest common factor (GCF) of 60765 and 60775 is 5.

GCF(60765,60775) = 5

We will now calculate the prime factors of 60765 and 60775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60765 and 60775.

How to find the GCF of 60765 and 60775?

We will first find the prime factorization of 60765 and 60775. After we will calculate the factors of 60765 and 60775 and find the biggest common factor number .

Step-1: Prime Factorization of 60765

Prime factors of 60765 are 3, 5, 4051. Prime factorization of 60765 in exponential form is:

60765 = 3¹ × 5¹ × 4051¹

Step-2: Prime Factorization of 60775

Prime factors of 60775 are 5, 11, 13, 17. Prime factorization of 60775 in exponential form is:

60775 = 5² × 11¹ × 13¹ × 17¹

Step-3: Factors of 60765

List of positive integer factors of 60765 that divides 60765 without a remainder.

1, 3, 5, 15, 4051, 12153, 20255

Step-4: Factors of 60775

List of positive integer factors of 60775 that divides 60765 without a remainder.

1, 5, 11, 13, 17, 25, 55, 65, 85, 143, 187, 221, 275, 325, 425, 715, 935, 1105, 2431, 3575, 4675, 5525, 12155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60765 and 60775. The biggest common factor number is the GCF number.
So the greatest common factor 60765 and 60775 is 5.

Also check out the Least Common Multiple of 60765 and 60775