What is the Greatest Common Factor of 74564 and 74578?

Greatest common factor (GCF) of 74564 and 74578 is 14.

GCF(74564,74578) = 14

We will now calculate the prime factors of 74564 and 74578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74564 and 74578.

How to find the GCF of 74564 and 74578?

We will first find the prime factorization of 74564 and 74578. After we will calculate the factors of 74564 and 74578 and find the biggest common factor number .

Step-1: Prime Factorization of 74564

Prime factors of 74564 are 2, 7, 2663. Prime factorization of 74564 in exponential form is:

74564 = 2² × 7¹ × 2663¹

Step-2: Prime Factorization of 74578

Prime factors of 74578 are 2, 7, 761. Prime factorization of 74578 in exponential form is:

74578 = 2¹ × 7² × 761¹

Step-3: Factors of 74564

List of positive integer factors of 74564 that divides 74564 without a remainder.

1, 2, 4, 7, 14, 28, 2663, 5326, 10652, 18641, 37282

Step-4: Factors of 74578

List of positive integer factors of 74578 that divides 74564 without a remainder.

1, 2, 7, 14, 49, 98, 761, 1522, 5327, 10654, 37289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74564 and 74578. The biggest common factor number is the GCF number.
So the greatest common factor 74564 and 74578 is 14.

Also check out the Least Common Multiple of 74564 and 74578