What is the Greatest Common Factor of 73692 and 73711?

Greatest common factor (GCF) of 73692 and 73711 is 1.

GCF(73692,73711) = 1

We will now calculate the prime factors of 73692 and 73711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73692 and 73711.

How to find the GCF of 73692 and 73711?

We will first find the prime factorization of 73692 and 73711. After we will calculate the factors of 73692 and 73711 and find the biggest common factor number .

Step-1: Prime Factorization of 73692

Prime factors of 73692 are 2, 3, 23, 89. Prime factorization of 73692 in exponential form is:

73692 = 2² × 3² × 23¹ × 89¹

Step-2: Prime Factorization of 73711

Prime factors of 73711 are 11, 6701. Prime factorization of 73711 in exponential form is:

73711 = 11¹ × 6701¹

Step-3: Factors of 73692

List of positive integer factors of 73692 that divides 73692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 89, 92, 138, 178, 207, 267, 276, 356, 414, 534, 801, 828, 1068, 1602, 2047, 3204, 4094, 6141, 8188, 12282, 18423, 24564, 36846

Step-4: Factors of 73711

List of positive integer factors of 73711 that divides 73692 without a remainder.

1, 11, 6701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73692 and 73711. The biggest common factor number is the GCF number.
So the greatest common factor 73692 and 73711 is 1.

Also check out the Least Common Multiple of 73692 and 73711