What is the Greatest Common Factor of 78560 and 78574?

Greatest common factor (GCF) of 78560 and 78574 is 2.

GCF(78560,78574) = 2

We will now calculate the prime factors of 78560 and 78574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78560 and 78574.

How to find the GCF of 78560 and 78574?

We will first find the prime factorization of 78560 and 78574. After we will calculate the factors of 78560 and 78574 and find the biggest common factor number .

Step-1: Prime Factorization of 78560

Prime factors of 78560 are 2, 5, 491. Prime factorization of 78560 in exponential form is:

78560 = 2⁵ × 5¹ × 491¹

Step-2: Prime Factorization of 78574

Prime factors of 78574 are 2, 17, 2311. Prime factorization of 78574 in exponential form is:

78574 = 2¹ × 17¹ × 2311¹

Step-3: Factors of 78560

List of positive integer factors of 78560 that divides 78560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 491, 982, 1964, 2455, 3928, 4910, 7856, 9820, 15712, 19640, 39280

Step-4: Factors of 78574

List of positive integer factors of 78574 that divides 78560 without a remainder.

1, 2, 17, 34, 2311, 4622, 39287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78560 and 78574. The biggest common factor number is the GCF number.
So the greatest common factor 78560 and 78574 is 2.

Also check out the Least Common Multiple of 78560 and 78574