What is the Greatest Common Factor of 79029 and 79044?

Greatest common factor (GCF) of 79029 and 79044 is 3.

GCF(79029,79044) = 3

We will now calculate the prime factors of 79029 and 79044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79029 and 79044.

How to find the GCF of 79029 and 79044?

We will first find the prime factorization of 79029 and 79044. After we will calculate the factors of 79029 and 79044 and find the biggest common factor number .

Step-1: Prime Factorization of 79029

Prime factors of 79029 are 3, 2927. Prime factorization of 79029 in exponential form is:

79029 = 3³ × 2927¹

Step-2: Prime Factorization of 79044

Prime factors of 79044 are 2, 3, 7, 941. Prime factorization of 79044 in exponential form is:

79044 = 2² × 3¹ × 7¹ × 941¹

Step-3: Factors of 79029

List of positive integer factors of 79029 that divides 79029 without a remainder.

1, 3, 9, 27, 2927, 8781, 26343

Step-4: Factors of 79044

List of positive integer factors of 79044 that divides 79029 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 941, 1882, 2823, 3764, 5646, 6587, 11292, 13174, 19761, 26348, 39522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79029 and 79044. The biggest common factor number is the GCF number.
So the greatest common factor 79029 and 79044 is 3.

Also check out the Least Common Multiple of 79029 and 79044