What is the Greatest Common Factor of 29670 and 29679?

Greatest common factor (GCF) of 29670 and 29679 is 3.

GCF(29670,29679) = 3

We will now calculate the prime factors of 29670 and 29679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29670 and 29679.

How to find the GCF of 29670 and 29679?

We will first find the prime factorization of 29670 and 29679. After we will calculate the factors of 29670 and 29679 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 29679

Prime factors of 29679 are 3, 13, 761. Prime factorization of 29679 in exponential form is:

29679 = 3¹ × 13¹ × 761¹

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 29679

List of positive integer factors of 29679 that divides 29670 without a remainder.

1, 3, 13, 39, 761, 2283, 9893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29670 and 29679. The biggest common factor number is the GCF number.
So the greatest common factor 29670 and 29679 is 3.

Also check out the Least Common Multiple of 29670 and 29679