What is the Greatest Common Factor of 78574 and 78582?

Greatest common factor (GCF) of 78574 and 78582 is 2.

GCF(78574,78582) = 2

We will now calculate the prime factors of 78574 and 78582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78574 and 78582.

How to find the GCF of 78574 and 78582?

We will first find the prime factorization of 78574 and 78582. After we will calculate the factors of 78574 and 78582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78582

Prime factors of 78582 are 2, 3, 7, 1871. Prime factorization of 78582 in exponential form is:

78582 = 2¹ × 3¹ × 7¹ × 1871¹

Step-3: Factors of 78574

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

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

Step-4: Factors of 78582

List of positive integer factors of 78582 that divides 78574 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1871, 3742, 5613, 11226, 13097, 26194, 39291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78574 and 78582. The biggest common factor number is the GCF number.
So the greatest common factor 78574 and 78582 is 2.

Also check out the Least Common Multiple of 78574 and 78582