What is the Greatest Common Factor of 60758 and 60775?

Greatest common factor (GCF) of 60758 and 60775 is 17.

GCF(60758,60775) = 17

We will now calculate the prime factors of 60758 and 60775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60758 and 60775.

How to find the GCF of 60758 and 60775?

We will first find the prime factorization of 60758 and 60775. After we will calculate the factors of 60758 and 60775 and find the biggest common factor number .

Step-1: Prime Factorization of 60758

Prime factors of 60758 are 2, 17, 1787. Prime factorization of 60758 in exponential form is:

60758 = 2¹ × 17¹ × 1787¹

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 60758

List of positive integer factors of 60758 that divides 60758 without a remainder.

1, 2, 17, 34, 1787, 3574, 30379

Step-4: Factors of 60775

List of positive integer factors of 60775 that divides 60758 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 60758 and 60775. The biggest common factor number is the GCF number.
So the greatest common factor 60758 and 60775 is 17.

Also check out the Least Common Multiple of 60758 and 60775