What is the Greatest Common Factor of 29605 and 29610?

Greatest common factor (GCF) of 29605 and 29610 is 5.

GCF(29605,29610) = 5

We will now calculate the prime factors of 29605 and 29610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29605 and 29610.

How to find the GCF of 29605 and 29610?

We will first find the prime factorization of 29605 and 29610. After we will calculate the factors of 29605 and 29610 and find the biggest common factor number .

Step-1: Prime Factorization of 29605

Prime factors of 29605 are 5, 31, 191. Prime factorization of 29605 in exponential form is:

29605 = 5¹ × 31¹ × 191¹

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 29605

List of positive integer factors of 29605 that divides 29605 without a remainder.

1, 5, 31, 155, 191, 955, 5921

Step-4: Factors of 29610

List of positive integer factors of 29610 that divides 29605 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 29605 and 29610. The biggest common factor number is the GCF number.
So the greatest common factor 29605 and 29610 is 5.

Also check out the Least Common Multiple of 29605 and 29610