What is the Greatest Common Factor of 29595 and 29610?

Greatest common factor (GCF) of 29595 and 29610 is 15.

GCF(29595,29610) = 15

We will now calculate the prime factors of 29595 and 29610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29595 and 29610.

How to find the GCF of 29595 and 29610?

We will first find the prime factorization of 29595 and 29610. After we will calculate the factors of 29595 and 29610 and find the biggest common factor number .

Step-1: Prime Factorization of 29595

Prime factors of 29595 are 3, 5, 1973. Prime factorization of 29595 in exponential form is:

29595 = 3¹ × 5¹ × 1973¹

Step-2: Prime Factorization of 29610

Prime factors of 29610 are 2, 3, 5, 7, 47. Prime factorization of 29610 in exponential form is:

29610 = 2¹ × 3² × 5¹ × 7¹ × 47¹

Step-3: Factors of 29595

List of positive integer factors of 29595 that divides 29595 without a remainder.

1, 3, 5, 15, 1973, 5919, 9865

Step-4: Factors of 29610

List of positive integer factors of 29610 that divides 29595 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 47, 63, 70, 90, 94, 105, 126, 141, 210, 235, 282, 315, 329, 423, 470, 630, 658, 705, 846, 987, 1410, 1645, 1974, 2115, 2961, 3290, 4230, 4935, 5922, 9870, 14805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29595 and 29610. The biggest common factor number is the GCF number.
So the greatest common factor 29595 and 29610 is 15.

Also check out the Least Common Multiple of 29595 and 29610