What is the Greatest Common Factor of 73774 and 73792?

Greatest common factor (GCF) of 73774 and 73792 is 2.

GCF(73774,73792) = 2

We will now calculate the prime factors of 73774 and 73792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73774 and 73792.

How to find the GCF of 73774 and 73792?

We will first find the prime factorization of 73774 and 73792. After we will calculate the factors of 73774 and 73792 and find the biggest common factor number .

Step-1: Prime Factorization of 73774

Prime factors of 73774 are 2, 36887. Prime factorization of 73774 in exponential form is:

73774 = 2¹ × 36887¹

Step-2: Prime Factorization of 73792

Prime factors of 73792 are 2, 1153. Prime factorization of 73792 in exponential form is:

73792 = 2⁶ × 1153¹

Step-3: Factors of 73774

List of positive integer factors of 73774 that divides 73774 without a remainder.

1, 2, 36887

Step-4: Factors of 73792

List of positive integer factors of 73792 that divides 73774 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1153, 2306, 4612, 9224, 18448, 36896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73774 and 73792. The biggest common factor number is the GCF number.
So the greatest common factor 73774 and 73792 is 2.

Also check out the Least Common Multiple of 73774 and 73792