What is the Greatest Common Factor of 71745 and 71764?

Greatest common factor (GCF) of 71745 and 71764 is 1.

GCF(71745,71764) = 1

We will now calculate the prime factors of 71745 and 71764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71745 and 71764.

How to find the GCF of 71745 and 71764?

We will first find the prime factorization of 71745 and 71764. After we will calculate the factors of 71745 and 71764 and find the biggest common factor number .

Step-1: Prime Factorization of 71745

Prime factors of 71745 are 3, 5, 4783. Prime factorization of 71745 in exponential form is:

71745 = 3¹ × 5¹ × 4783¹

Step-2: Prime Factorization of 71764

Prime factors of 71764 are 2, 7, 11, 233. Prime factorization of 71764 in exponential form is:

71764 = 2² × 7¹ × 11¹ × 233¹

Step-3: Factors of 71745

List of positive integer factors of 71745 that divides 71745 without a remainder.

1, 3, 5, 15, 4783, 14349, 23915

Step-4: Factors of 71764

List of positive integer factors of 71764 that divides 71745 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 233, 308, 466, 932, 1631, 2563, 3262, 5126, 6524, 10252, 17941, 35882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71745 and 71764. The biggest common factor number is the GCF number.
So the greatest common factor 71745 and 71764 is 1.

Also check out the Least Common Multiple of 71745 and 71764