What is the Greatest Common Factor of 29670 and 29685?

Greatest common factor (GCF) of 29670 and 29685 is 15.

GCF(29670,29685) = 15

We will now calculate the prime factors of 29670 and 29685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29670 and 29685.

How to find the GCF of 29670 and 29685?

We will first find the prime factorization of 29670 and 29685. After we will calculate the factors of 29670 and 29685 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 29685

Prime factors of 29685 are 3, 5, 1979. Prime factorization of 29685 in exponential form is:

29685 = 3¹ × 5¹ × 1979¹

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 29685

List of positive integer factors of 29685 that divides 29670 without a remainder.

1, 3, 5, 15, 1979, 5937, 9895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29670 and 29685. The biggest common factor number is the GCF number.
So the greatest common factor 29670 and 29685 is 15.

Also check out the Least Common Multiple of 29670 and 29685