What is the Greatest Common Factor of 29670 and 29675?

Greatest common factor (GCF) of 29670 and 29675 is 5.

GCF(29670,29675) = 5

We will now calculate the prime factors of 29670 and 29675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29670 and 29675.

How to find the GCF of 29670 and 29675?

We will first find the prime factorization of 29670 and 29675. After we will calculate the factors of 29670 and 29675 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 29675

Prime factors of 29675 are 5, 1187. Prime factorization of 29675 in exponential form is:

29675 = 5² × 1187¹

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 29675

List of positive integer factors of 29675 that divides 29670 without a remainder.

1, 5, 25, 1187, 5935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29670 and 29675. The biggest common factor number is the GCF number.
So the greatest common factor 29670 and 29675 is 5.

Also check out the Least Common Multiple of 29670 and 29675