What is the Greatest Common Factor of 29904 and 29922?

Greatest common factor (GCF) of 29904 and 29922 is 6.

GCF(29904,29922) = 6

We will now calculate the prime factors of 29904 and 29922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29904 and 29922.

How to find the GCF of 29904 and 29922?

We will first find the prime factorization of 29904 and 29922. After we will calculate the factors of 29904 and 29922 and find the biggest common factor number .

Step-1: Prime Factorization of 29904

Prime factors of 29904 are 2, 3, 7, 89. Prime factorization of 29904 in exponential form is:

29904 = 2⁴ × 3¹ × 7¹ × 89¹

Step-2: Prime Factorization of 29922

Prime factors of 29922 are 2, 3, 4987. Prime factorization of 29922 in exponential form is:

29922 = 2¹ × 3¹ × 4987¹

Step-3: Factors of 29904

List of positive integer factors of 29904 that divides 29904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 89, 112, 168, 178, 267, 336, 356, 534, 623, 712, 1068, 1246, 1424, 1869, 2136, 2492, 3738, 4272, 4984, 7476, 9968, 14952

Step-4: Factors of 29922

List of positive integer factors of 29922 that divides 29904 without a remainder.

1, 2, 3, 6, 4987, 9974, 14961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29904 and 29922. The biggest common factor number is the GCF number.
So the greatest common factor 29904 and 29922 is 6.

Also check out the Least Common Multiple of 29904 and 29922