What is the Greatest Common Factor of 29820 and 29832?

Greatest common factor (GCF) of 29820 and 29832 is 12.

GCF(29820,29832) = 12

We will now calculate the prime factors of 29820 and 29832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29820 and 29832.

How to find the GCF of 29820 and 29832?

We will first find the prime factorization of 29820 and 29832. After we will calculate the factors of 29820 and 29832 and find the biggest common factor number .

Step-1: Prime Factorization of 29820

Prime factors of 29820 are 2, 3, 5, 7, 71. Prime factorization of 29820 in exponential form is:

29820 = 2² × 3¹ × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 29832

Prime factors of 29832 are 2, 3, 11, 113. Prime factorization of 29832 in exponential form is:

29832 = 2³ × 3¹ × 11¹ × 113¹

Step-3: Factors of 29820

List of positive integer factors of 29820 that divides 29820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 71, 84, 105, 140, 142, 210, 213, 284, 355, 420, 426, 497, 710, 852, 994, 1065, 1420, 1491, 1988, 2130, 2485, 2982, 4260, 4970, 5964, 7455, 9940, 14910

Step-4: Factors of 29832

List of positive integer factors of 29832 that divides 29820 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 113, 132, 226, 264, 339, 452, 678, 904, 1243, 1356, 2486, 2712, 3729, 4972, 7458, 9944, 14916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29820 and 29832. The biggest common factor number is the GCF number.
So the greatest common factor 29820 and 29832 is 12.

Also check out the Least Common Multiple of 29820 and 29832