What is the Greatest Common Factor of 64724 and 64743?

Greatest common factor (GCF) of 64724 and 64743 is 1.

GCF(64724,64743) = 1

We will now calculate the prime factors of 64724 and 64743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64724 and 64743.

How to find the GCF of 64724 and 64743?

We will first find the prime factorization of 64724 and 64743. After we will calculate the factors of 64724 and 64743 and find the biggest common factor number .

Step-1: Prime Factorization of 64724

Prime factors of 64724 are 2, 11, 1471. Prime factorization of 64724 in exponential form is:

64724 = 2² × 11¹ × 1471¹

Step-2: Prime Factorization of 64743

Prime factors of 64743 are 3, 7, 3083. Prime factorization of 64743 in exponential form is:

64743 = 3¹ × 7¹ × 3083¹

Step-3: Factors of 64724

List of positive integer factors of 64724 that divides 64724 without a remainder.

1, 2, 4, 11, 22, 44, 1471, 2942, 5884, 16181, 32362

Step-4: Factors of 64743

List of positive integer factors of 64743 that divides 64724 without a remainder.

1, 3, 7, 21, 3083, 9249, 21581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64724 and 64743. The biggest common factor number is the GCF number.
So the greatest common factor 64724 and 64743 is 1.

Also check out the Least Common Multiple of 64724 and 64743