What is the Greatest Common Factor of 29960 and 29980?

Greatest common factor (GCF) of 29960 and 29980 is 20.

GCF(29960,29980) = 20

We will now calculate the prime factors of 29960 and 29980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29960 and 29980.

How to find the GCF of 29960 and 29980?

We will first find the prime factorization of 29960 and 29980. After we will calculate the factors of 29960 and 29980 and find the biggest common factor number .

Step-1: Prime Factorization of 29960

Prime factors of 29960 are 2, 5, 7, 107. Prime factorization of 29960 in exponential form is:

29960 = 2³ × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 29980

Prime factors of 29980 are 2, 5, 1499. Prime factorization of 29980 in exponential form is:

29980 = 2² × 5¹ × 1499¹

Step-3: Factors of 29960

List of positive integer factors of 29960 that divides 29960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 107, 140, 214, 280, 428, 535, 749, 856, 1070, 1498, 2140, 2996, 3745, 4280, 5992, 7490, 14980

Step-4: Factors of 29980

List of positive integer factors of 29980 that divides 29960 without a remainder.

1, 2, 4, 5, 10, 20, 1499, 2998, 5996, 7495, 14990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29960 and 29980. The biggest common factor number is the GCF number.
So the greatest common factor 29960 and 29980 is 20.

Also check out the Least Common Multiple of 29960 and 29980