What is the Greatest Common Factor of 76574 and 76584?

Greatest common factor (GCF) of 76574 and 76584 is 2.

GCF(76574,76584) = 2

We will now calculate the prime factors of 76574 and 76584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76574 and 76584.

How to find the GCF of 76574 and 76584?

We will first find the prime factorization of 76574 and 76584. After we will calculate the factors of 76574 and 76584 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 76584

Prime factors of 76584 are 2, 3, 3191. Prime factorization of 76584 in exponential form is:

76584 = 2³ × 3¹ × 3191¹

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 76584

List of positive integer factors of 76584 that divides 76574 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3191, 6382, 9573, 12764, 19146, 25528, 38292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76574 and 76584. The biggest common factor number is the GCF number.
So the greatest common factor 76574 and 76584 is 2.

Also check out the Least Common Multiple of 76574 and 76584