What is the Greatest Common Factor of 42699 and 42705?

Greatest common factor (GCF) of 42699 and 42705 is 3.

GCF(42699,42705) = 3

We will now calculate the prime factors of 42699 and 42705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42699 and 42705.

How to find the GCF of 42699 and 42705?

We will first find the prime factorization of 42699 and 42705. After we will calculate the factors of 42699 and 42705 and find the biggest common factor number .

Step-1: Prime Factorization of 42699

Prime factors of 42699 are 3, 43, 331. Prime factorization of 42699 in exponential form is:

42699 = 3¹ × 43¹ × 331¹

Step-2: Prime Factorization of 42705

Prime factors of 42705 are 3, 5, 13, 73. Prime factorization of 42705 in exponential form is:

42705 = 3² × 5¹ × 13¹ × 73¹

Step-3: Factors of 42699

List of positive integer factors of 42699 that divides 42699 without a remainder.

1, 3, 43, 129, 331, 993, 14233

Step-4: Factors of 42705

List of positive integer factors of 42705 that divides 42699 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 73, 117, 195, 219, 365, 585, 657, 949, 1095, 2847, 3285, 4745, 8541, 14235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42699 and 42705. The biggest common factor number is the GCF number.
So the greatest common factor 42699 and 42705 is 3.

Also check out the Least Common Multiple of 42699 and 42705