What is the Greatest Common Factor of 76574 and 76585?

Greatest common factor (GCF) of 76574 and 76585 is 1.

GCF(76574,76585) = 1

We will now calculate the prime factors of 76574 and 76585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76574 and 76585.

How to find the GCF of 76574 and 76585?

We will first find the prime factorization of 76574 and 76585. After we will calculate the factors of 76574 and 76585 and find the biggest common factor number .

Step-1: Prime Factorization of 76574

Prime factors of 76574 are 2, 38287. Prime factorization of 76574 in exponential form is:

76574 = 2¹ × 38287¹

Step-2: Prime Factorization of 76585

Prime factors of 76585 are 5, 17, 53. Prime factorization of 76585 in exponential form is:

76585 = 5¹ × 17² × 53¹

Step-3: Factors of 76574

List of positive integer factors of 76574 that divides 76574 without a remainder.

1, 2, 38287

Step-4: Factors of 76585

List of positive integer factors of 76585 that divides 76574 without a remainder.

1, 5, 17, 53, 85, 265, 289, 901, 1445, 4505, 15317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76574 and 76585. The biggest common factor number is the GCF number.
So the greatest common factor 76574 and 76585 is 1.

Also check out the Least Common Multiple of 76574 and 76585