What is the Greatest Common Factor of 29880 and 29892?

Greatest common factor (GCF) of 29880 and 29892 is 12.

GCF(29880,29892) = 12

We will now calculate the prime factors of 29880 and 29892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29880 and 29892.

How to find the GCF of 29880 and 29892?

We will first find the prime factorization of 29880 and 29892. After we will calculate the factors of 29880 and 29892 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 29892

Prime factors of 29892 are 2, 3, 47, 53. Prime factorization of 29892 in exponential form is:

29892 = 2² × 3¹ × 47¹ × 53¹

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 29892

List of positive integer factors of 29892 that divides 29880 without a remainder.

1, 2, 3, 4, 6, 12, 47, 53, 94, 106, 141, 159, 188, 212, 282, 318, 564, 636, 2491, 4982, 7473, 9964, 14946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29880 and 29892. The biggest common factor number is the GCF number.
So the greatest common factor 29880 and 29892 is 12.

Also check out the Least Common Multiple of 29880 and 29892