What is the Greatest Common Factor of 60693 and 60705?

Greatest common factor (GCF) of 60693 and 60705 is 3.

GCF(60693,60705) = 3

We will now calculate the prime factors of 60693 and 60705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60693 and 60705.

How to find the GCF of 60693 and 60705?

We will first find the prime factorization of 60693 and 60705. After we will calculate the factors of 60693 and 60705 and find the biggest common factor number .

Step-1: Prime Factorization of 60693

Prime factors of 60693 are 3, 20231. Prime factorization of 60693 in exponential form is:

60693 = 3¹ × 20231¹

Step-2: Prime Factorization of 60705

Prime factors of 60705 are 3, 5, 19, 71. Prime factorization of 60705 in exponential form is:

60705 = 3² × 5¹ × 19¹ × 71¹

Step-3: Factors of 60693

List of positive integer factors of 60693 that divides 60693 without a remainder.

1, 3, 20231

Step-4: Factors of 60705

List of positive integer factors of 60705 that divides 60693 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 71, 95, 171, 213, 285, 355, 639, 855, 1065, 1349, 3195, 4047, 6745, 12141, 20235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60693 and 60705. The biggest common factor number is the GCF number.
So the greatest common factor 60693 and 60705 is 3.

Also check out the Least Common Multiple of 60693 and 60705