What is the Greatest Common Factor of 79040 and 79053?

Greatest common factor (GCF) of 79040 and 79053 is 13.

GCF(79040,79053) = 13

We will now calculate the prime factors of 79040 and 79053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79040 and 79053.

How to find the GCF of 79040 and 79053?

We will first find the prime factorization of 79040 and 79053. After we will calculate the factors of 79040 and 79053 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 79053

Prime factors of 79053 are 3, 13, 2027. Prime factorization of 79053 in exponential form is:

79053 = 3¹ × 13¹ × 2027¹

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 79053

List of positive integer factors of 79053 that divides 79040 without a remainder.

1, 3, 13, 39, 2027, 6081, 26351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79040 and 79053. The biggest common factor number is the GCF number.
So the greatest common factor 79040 and 79053 is 13.

Also check out the Least Common Multiple of 79040 and 79053