What is the Greatest Common Factor of 45699 and 45708?

Greatest common factor (GCF) of 45699 and 45708 is 3.

GCF(45699,45708) = 3

We will now calculate the prime factors of 45699 and 45708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45699 and 45708.

How to find the GCF of 45699 and 45708?

We will first find the prime factorization of 45699 and 45708. After we will calculate the factors of 45699 and 45708 and find the biggest common factor number .

Step-1: Prime Factorization of 45699

Prime factors of 45699 are 3, 15233. Prime factorization of 45699 in exponential form is:

45699 = 3¹ × 15233¹

Step-2: Prime Factorization of 45708

Prime factors of 45708 are 2, 3, 13, 293. Prime factorization of 45708 in exponential form is:

45708 = 2² × 3¹ × 13¹ × 293¹

Step-3: Factors of 45699

List of positive integer factors of 45699 that divides 45699 without a remainder.

1, 3, 15233

Step-4: Factors of 45708

List of positive integer factors of 45708 that divides 45699 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 293, 586, 879, 1172, 1758, 3516, 3809, 7618, 11427, 15236, 22854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45699 and 45708. The biggest common factor number is the GCF number.
So the greatest common factor 45699 and 45708 is 3.

Also check out the Least Common Multiple of 45699 and 45708