What is the Greatest Common Factor of 74849 and 74866?

Greatest common factor (GCF) of 74849 and 74866 is 1.

GCF(74849,74866) = 1

We will now calculate the prime factors of 74849 and 74866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74849 and 74866.

How to find the GCF of 74849 and 74866?

We will first find the prime factorization of 74849 and 74866. After we will calculate the factors of 74849 and 74866 and find the biggest common factor number .

Step-1: Prime Factorization of 74849

Prime factors of 74849 are 29, 89. Prime factorization of 74849 in exponential form is:

74849 = 29² × 89¹

Step-2: Prime Factorization of 74866

Prime factors of 74866 are 2, 11, 41, 83. Prime factorization of 74866 in exponential form is:

74866 = 2¹ × 11¹ × 41¹ × 83¹

Step-3: Factors of 74849

List of positive integer factors of 74849 that divides 74849 without a remainder.

1, 29, 89, 841, 2581

Step-4: Factors of 74866

List of positive integer factors of 74866 that divides 74849 without a remainder.

1, 2, 11, 22, 41, 82, 83, 166, 451, 902, 913, 1826, 3403, 6806, 37433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74849 and 74866. The biggest common factor number is the GCF number.
So the greatest common factor 74849 and 74866 is 1.

Also check out the Least Common Multiple of 74849 and 74866