What is the Greatest Common Factor of 73774 and 73786?

Greatest common factor (GCF) of 73774 and 73786 is 2.

GCF(73774,73786) = 2

We will now calculate the prime factors of 73774 and 73786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73774 and 73786.

How to find the GCF of 73774 and 73786?

We will first find the prime factorization of 73774 and 73786. After we will calculate the factors of 73774 and 73786 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 73786

Prime factors of 73786 are 2, 79, 467. Prime factorization of 73786 in exponential form is:

73786 = 2¹ × 79¹ × 467¹

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 73786

List of positive integer factors of 73786 that divides 73774 without a remainder.

1, 2, 79, 158, 467, 934, 36893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73774 and 73786. The biggest common factor number is the GCF number.
So the greatest common factor 73774 and 73786 is 2.

Also check out the Least Common Multiple of 73774 and 73786