What is the Greatest Common Factor of 29670 and 29690?

Greatest common factor (GCF) of 29670 and 29690 is 10.

GCF(29670,29690) = 10

We will now calculate the prime factors of 29670 and 29690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29670 and 29690.

How to find the GCF of 29670 and 29690?

We will first find the prime factorization of 29670 and 29690. After we will calculate the factors of 29670 and 29690 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 29690

Prime factors of 29690 are 2, 5, 2969. Prime factorization of 29690 in exponential form is:

29690 = 2¹ × 5¹ × 2969¹

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 29690

List of positive integer factors of 29690 that divides 29670 without a remainder.

1, 2, 5, 10, 2969, 5938, 14845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29670 and 29690. The biggest common factor number is the GCF number.
So the greatest common factor 29670 and 29690 is 10.

Also check out the Least Common Multiple of 29670 and 29690