What is the Greatest Common Factor of 74543 and 74557?

Greatest common factor (GCF) of 74543 and 74557 is 7.

GCF(74543,74557) = 7

We will now calculate the prime factors of 74543 and 74557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74543 and 74557.

How to find the GCF of 74543 and 74557?

We will first find the prime factorization of 74543 and 74557. After we will calculate the factors of 74543 and 74557 and find the biggest common factor number .

Step-1: Prime Factorization of 74543

Prime factors of 74543 are 7, 23, 463. Prime factorization of 74543 in exponential form is:

74543 = 7¹ × 23¹ × 463¹

Step-2: Prime Factorization of 74557

Prime factors of 74557 are 7, 10651. Prime factorization of 74557 in exponential form is:

74557 = 7¹ × 10651¹

Step-3: Factors of 74543

List of positive integer factors of 74543 that divides 74543 without a remainder.

1, 7, 23, 161, 463, 3241, 10649

Step-4: Factors of 74557

List of positive integer factors of 74557 that divides 74543 without a remainder.

1, 7, 10651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74543 and 74557. The biggest common factor number is the GCF number.
So the greatest common factor 74543 and 74557 is 7.

Also check out the Least Common Multiple of 74543 and 74557