What is the Greatest Common Factor of 29610 and 29625?

Greatest common factor (GCF) of 29610 and 29625 is 15.

GCF(29610,29625) = 15

We will now calculate the prime factors of 29610 and 29625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29610 and 29625.

How to find the GCF of 29610 and 29625?

We will first find the prime factorization of 29610 and 29625. After we will calculate the factors of 29610 and 29625 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 29625

Prime factors of 29625 are 3, 5, 79. Prime factorization of 29625 in exponential form is:

29625 = 3¹ × 5³ × 79¹

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 29625

List of positive integer factors of 29625 that divides 29610 without a remainder.

1, 3, 5, 15, 25, 75, 79, 125, 237, 375, 395, 1185, 1975, 5925, 9875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29610 and 29625. The biggest common factor number is the GCF number.
So the greatest common factor 29610 and 29625 is 15.

Also check out the Least Common Multiple of 29610 and 29625