What is the Greatest Common Factor of 60775 and 60790?

Greatest common factor (GCF) of 60775 and 60790 is 5.

GCF(60775,60790) = 5

We will now calculate the prime factors of 60775 and 60790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60775 and 60790.

How to find the GCF of 60775 and 60790?

We will first find the prime factorization of 60775 and 60790. After we will calculate the factors of 60775 and 60790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60790

Prime factors of 60790 are 2, 5, 6079. Prime factorization of 60790 in exponential form is:

60790 = 2¹ × 5¹ × 6079¹

Step-3: Factors of 60775

List of positive integer factors of 60775 that divides 60775 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

Step-4: Factors of 60790

List of positive integer factors of 60790 that divides 60775 without a remainder.

1, 2, 5, 10, 6079, 12158, 30395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60775 and 60790. The biggest common factor number is the GCF number.
So the greatest common factor 60775 and 60790 is 5.

Also check out the Least Common Multiple of 60775 and 60790