What is the Greatest Common Factor of 29670 and 29684?

Greatest common factor (GCF) of 29670 and 29684 is 2.

GCF(29670,29684) = 2

We will now calculate the prime factors of 29670 and 29684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29670 and 29684.

How to find the GCF of 29670 and 29684?

We will first find the prime factorization of 29670 and 29684. After we will calculate the factors of 29670 and 29684 and find the biggest common factor number .

Step-1: Prime Factorization of 29670

Prime factors of 29670 are 2, 3, 5, 23, 43. Prime factorization of 29670 in exponential form is:

29670 = 2¹ × 3¹ × 5¹ × 23¹ × 43¹

Step-2: Prime Factorization of 29684

Prime factors of 29684 are 2, 41, 181. Prime factorization of 29684 in exponential form is:

29684 = 2² × 41¹ × 181¹

Step-3: Factors of 29670

List of positive integer factors of 29670 that divides 29670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 43, 46, 69, 86, 115, 129, 138, 215, 230, 258, 345, 430, 645, 690, 989, 1290, 1978, 2967, 4945, 5934, 9890, 14835

Step-4: Factors of 29684

List of positive integer factors of 29684 that divides 29670 without a remainder.

1, 2, 4, 41, 82, 164, 181, 362, 724, 7421, 14842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29670 and 29684. The biggest common factor number is the GCF number.
So the greatest common factor 29670 and 29684 is 2.

Also check out the Least Common Multiple of 29670 and 29684