What is the Greatest Common Factor of 29590 and 29610?

Greatest common factor (GCF) of 29590 and 29610 is 10.

GCF(29590,29610) = 10

We will now calculate the prime factors of 29590 and 29610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29590 and 29610.

How to find the GCF of 29590 and 29610?

We will first find the prime factorization of 29590 and 29610. After we will calculate the factors of 29590 and 29610 and find the biggest common factor number .

Step-1: Prime Factorization of 29590

Prime factors of 29590 are 2, 5, 11, 269. Prime factorization of 29590 in exponential form is:

29590 = 2¹ × 5¹ × 11¹ × 269¹

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 29590

List of positive integer factors of 29590 that divides 29590 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 269, 538, 1345, 2690, 2959, 5918, 14795

Step-4: Factors of 29610

List of positive integer factors of 29610 that divides 29590 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 29590 and 29610. The biggest common factor number is the GCF number.
So the greatest common factor 29590 and 29610 is 10.

Also check out the Least Common Multiple of 29590 and 29610