What is the Greatest Common Factor of 94020 and 94029?

Greatest common factor (GCF) of 94020 and 94029 is 3.

GCF(94020,94029) = 3

We will now calculate the prime factors of 94020 and 94029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94020 and 94029.

How to find the GCF of 94020 and 94029?

We will first find the prime factorization of 94020 and 94029. After we will calculate the factors of 94020 and 94029 and find the biggest common factor number .

Step-1: Prime Factorization of 94020

Prime factors of 94020 are 2, 3, 5, 1567. Prime factorization of 94020 in exponential form is:

94020 = 2² × 3¹ × 5¹ × 1567¹

Step-2: Prime Factorization of 94029

Prime factors of 94029 are 3, 13, 2411. Prime factorization of 94029 in exponential form is:

94029 = 3¹ × 13¹ × 2411¹

Step-3: Factors of 94020

List of positive integer factors of 94020 that divides 94020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1567, 3134, 4701, 6268, 7835, 9402, 15670, 18804, 23505, 31340, 47010

Step-4: Factors of 94029

List of positive integer factors of 94029 that divides 94020 without a remainder.

1, 3, 13, 39, 2411, 7233, 31343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94020 and 94029. The biggest common factor number is the GCF number.
So the greatest common factor 94020 and 94029 is 3.

Also check out the Least Common Multiple of 94020 and 94029