What is the Greatest Common Factor of 29880 and 29890?

Greatest common factor (GCF) of 29880 and 29890 is 10.

GCF(29880,29890) = 10

We will now calculate the prime factors of 29880 and 29890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29880 and 29890.

How to find the GCF of 29880 and 29890?

We will first find the prime factorization of 29880 and 29890. After we will calculate the factors of 29880 and 29890 and find the biggest common factor number .

Step-1: Prime Factorization of 29880

Prime factors of 29880 are 2, 3, 5, 83. Prime factorization of 29880 in exponential form is:

29880 = 2³ × 3² × 5¹ × 83¹

Step-2: Prime Factorization of 29890

Prime factors of 29890 are 2, 5, 7, 61. Prime factorization of 29890 in exponential form is:

29890 = 2¹ × 5¹ × 7² × 61¹

Step-3: Factors of 29880

List of positive integer factors of 29880 that divides 29880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 83, 90, 120, 166, 180, 249, 332, 360, 415, 498, 664, 747, 830, 996, 1245, 1494, 1660, 1992, 2490, 2988, 3320, 3735, 4980, 5976, 7470, 9960, 14940

Step-4: Factors of 29890

List of positive integer factors of 29890 that divides 29880 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 61, 70, 98, 122, 245, 305, 427, 490, 610, 854, 2135, 2989, 4270, 5978, 14945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29880 and 29890. The biggest common factor number is the GCF number.
So the greatest common factor 29880 and 29890 is 10.

Also check out the Least Common Multiple of 29880 and 29890