What is the Greatest Common Factor of 29610 and 29628?

Greatest common factor (GCF) of 29610 and 29628 is 18.

GCF(29610,29628) = 18

We will now calculate the prime factors of 29610 and 29628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29610 and 29628.

How to find the GCF of 29610 and 29628?

We will first find the prime factorization of 29610 and 29628. After we will calculate the factors of 29610 and 29628 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29628

Prime factors of 29628 are 2, 3, 823. Prime factorization of 29628 in exponential form is:

29628 = 2² × 3² × 823¹

Step-3: Factors of 29610

List of positive integer factors of 29610 that divides 29610 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

Step-4: Factors of 29628

List of positive integer factors of 29628 that divides 29610 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 823, 1646, 2469, 3292, 4938, 7407, 9876, 14814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29610 and 29628. The biggest common factor number is the GCF number.
So the greatest common factor 29610 and 29628 is 18.

Also check out the Least Common Multiple of 29610 and 29628