What is the Greatest Common Factor of 79119 and 79128?

Greatest common factor (GCF) of 79119 and 79128 is 9.

GCF(79119,79128) = 9

We will now calculate the prime factors of 79119 and 79128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79119 and 79128.

How to find the GCF of 79119 and 79128?

We will first find the prime factorization of 79119 and 79128. After we will calculate the factors of 79119 and 79128 and find the biggest common factor number .

Step-1: Prime Factorization of 79119

Prime factors of 79119 are 3, 59, 149. Prime factorization of 79119 in exponential form is:

79119 = 3² × 59¹ × 149¹

Step-2: Prime Factorization of 79128

Prime factors of 79128 are 2, 3, 7, 157. Prime factorization of 79128 in exponential form is:

79128 = 2³ × 3² × 7¹ × 157¹

Step-3: Factors of 79119

List of positive integer factors of 79119 that divides 79119 without a remainder.

1, 3, 9, 59, 149, 177, 447, 531, 1341, 8791, 26373

Step-4: Factors of 79128

List of positive integer factors of 79128 that divides 79119 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 157, 168, 252, 314, 471, 504, 628, 942, 1099, 1256, 1413, 1884, 2198, 2826, 3297, 3768, 4396, 5652, 6594, 8792, 9891, 11304, 13188, 19782, 26376, 39564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79119 and 79128. The biggest common factor number is the GCF number.
So the greatest common factor 79119 and 79128 is 9.

Also check out the Least Common Multiple of 79119 and 79128