What is the Greatest Common Factor of 78574 and 78587?

Greatest common factor (GCF) of 78574 and 78587 is 1.

GCF(78574,78587) = 1

We will now calculate the prime factors of 78574 and 78587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78574 and 78587.

How to find the GCF of 78574 and 78587?

We will first find the prime factorization of 78574 and 78587. After we will calculate the factors of 78574 and 78587 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 78587

Prime factors of 78587 are 89, 883. Prime factorization of 78587 in exponential form is:

78587 = 89¹ × 883¹

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 78587

List of positive integer factors of 78587 that divides 78574 without a remainder.

1, 89, 883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78574 and 78587. The biggest common factor number is the GCF number.
So the greatest common factor 78574 and 78587 is 1.

Also check out the Least Common Multiple of 78574 and 78587