What is the Greatest Common Factor of 74578 and 74588?

Greatest common factor (GCF) of 74578 and 74588 is 2.

GCF(74578,74588) = 2

We will now calculate the prime factors of 74578 and 74588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74578 and 74588.

How to find the GCF of 74578 and 74588?

We will first find the prime factorization of 74578 and 74588. After we will calculate the factors of 74578 and 74588 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74588

Prime factors of 74588 are 2, 29, 643. Prime factorization of 74588 in exponential form is:

74588 = 2² × 29¹ × 643¹

Step-3: Factors of 74578

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

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

Step-4: Factors of 74588

List of positive integer factors of 74588 that divides 74578 without a remainder.

1, 2, 4, 29, 58, 116, 643, 1286, 2572, 18647, 37294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74578 and 74588. The biggest common factor number is the GCF number.
So the greatest common factor 74578 and 74588 is 2.

Also check out the Least Common Multiple of 74578 and 74588