What is the Greatest Common Factor of 29940 and 29955?

Greatest common factor (GCF) of 29940 and 29955 is 15.

GCF(29940,29955) = 15

We will now calculate the prime factors of 29940 and 29955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29940 and 29955.

How to find the GCF of 29940 and 29955?

We will first find the prime factorization of 29940 and 29955. After we will calculate the factors of 29940 and 29955 and find the biggest common factor number .

Step-1: Prime Factorization of 29940

Prime factors of 29940 are 2, 3, 5, 499. Prime factorization of 29940 in exponential form is:

29940 = 2² × 3¹ × 5¹ × 499¹

Step-2: Prime Factorization of 29955

Prime factors of 29955 are 3, 5, 1997. Prime factorization of 29955 in exponential form is:

29955 = 3¹ × 5¹ × 1997¹

Step-3: Factors of 29940

List of positive integer factors of 29940 that divides 29940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 499, 998, 1497, 1996, 2495, 2994, 4990, 5988, 7485, 9980, 14970

Step-4: Factors of 29955

List of positive integer factors of 29955 that divides 29940 without a remainder.

1, 3, 5, 15, 1997, 5991, 9985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29940 and 29955. The biggest common factor number is the GCF number.
So the greatest common factor 29940 and 29955 is 15.

Also check out the Least Common Multiple of 29940 and 29955