What is the Greatest Common Factor of 79024 and 79040?

Greatest common factor (GCF) of 79024 and 79040 is 16.

GCF(79024,79040) = 16

We will now calculate the prime factors of 79024 and 79040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79024 and 79040.

How to find the GCF of 79024 and 79040?

We will first find the prime factorization of 79024 and 79040. After we will calculate the factors of 79024 and 79040 and find the biggest common factor number .

Step-1: Prime Factorization of 79024

Prime factors of 79024 are 2, 11, 449. Prime factorization of 79024 in exponential form is:

79024 = 2⁴ × 11¹ × 449¹

Step-2: 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-3: Factors of 79024

List of positive integer factors of 79024 that divides 79024 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 449, 898, 1796, 3592, 4939, 7184, 9878, 19756, 39512

Step-4: Factors of 79040

List of positive integer factors of 79040 that divides 79024 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79024 and 79040. The biggest common factor number is the GCF number.
So the greatest common factor 79024 and 79040 is 16.

Also check out the Least Common Multiple of 79024 and 79040