What is the Greatest Common Factor of 60699 and 60711?

Greatest common factor (GCF) of 60699 and 60711 is 3.

GCF(60699,60711) = 3

We will now calculate the prime factors of 60699 and 60711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60699 and 60711.

How to find the GCF of 60699 and 60711?

We will first find the prime factorization of 60699 and 60711. After we will calculate the factors of 60699 and 60711 and find the biggest common factor number .

Step-1: Prime Factorization of 60699

Prime factors of 60699 are 3, 20233. Prime factorization of 60699 in exponential form is:

60699 = 3¹ × 20233¹

Step-2: Prime Factorization of 60711

Prime factors of 60711 are 3, 7, 59. Prime factorization of 60711 in exponential form is:

60711 = 3¹ × 7³ × 59¹

Step-3: Factors of 60699

List of positive integer factors of 60699 that divides 60699 without a remainder.

1, 3, 20233

Step-4: Factors of 60711

List of positive integer factors of 60711 that divides 60699 without a remainder.

1, 3, 7, 21, 49, 59, 147, 177, 343, 413, 1029, 1239, 2891, 8673, 20237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60699 and 60711. The biggest common factor number is the GCF number.
So the greatest common factor 60699 and 60711 is 3.

Also check out the Least Common Multiple of 60699 and 60711