What is the Greatest Common Factor of 79040 and 79059?

Greatest common factor (GCF) of 79040 and 79059 is 19.

GCF(79040,79059) = 19

We will now calculate the prime factors of 79040 and 79059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79040 and 79059.

How to find the GCF of 79040 and 79059?

We will first find the prime factorization of 79040 and 79059. After we will calculate the factors of 79040 and 79059 and find the biggest common factor number .

Step-1: Prime Factorization of 79040

Prime factors of 79040 are 2, 5, 13, 19. Prime factorization of 79040 in exponential form is:

79040 = 2⁶ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 79059

Prime factors of 79059 are 3, 19, 73. Prime factorization of 79059 in exponential form is:

79059 = 3¹ × 19² × 73¹

Step-3: Factors of 79040

List of positive integer factors of 79040 that divides 79040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 26, 32, 38, 40, 52, 64, 65, 76, 80, 95, 104, 130, 152, 160, 190, 208, 247, 260, 304, 320, 380, 416, 494, 520, 608, 760, 832, 988, 1040, 1216, 1235, 1520, 1976, 2080, 2470, 3040, 3952, 4160, 4940, 6080, 7904, 9880, 15808, 19760, 39520

Step-4: Factors of 79059

List of positive integer factors of 79059 that divides 79040 without a remainder.

1, 3, 19, 57, 73, 219, 361, 1083, 1387, 4161, 26353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79040 and 79059. The biggest common factor number is the GCF number.
So the greatest common factor 79040 and 79059 is 19.

Also check out the Least Common Multiple of 79040 and 79059