What is the Greatest Common Factor of 74834 and 74849?

Greatest common factor (GCF) of 74834 and 74849 is 1.

GCF(74834,74849) = 1

We will now calculate the prime factors of 74834 and 74849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74834 and 74849.

How to find the GCF of 74834 and 74849?

We will first find the prime factorization of 74834 and 74849. After we will calculate the factors of 74834 and 74849 and find the biggest common factor number .

Step-1: Prime Factorization of 74834

Prime factors of 74834 are 2, 17, 31, 71. Prime factorization of 74834 in exponential form is:

74834 = 2¹ × 17¹ × 31¹ × 71¹

Step-2: Prime Factorization of 74849

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

74849 = 29² × 89¹

Step-3: Factors of 74834

List of positive integer factors of 74834 that divides 74834 without a remainder.

1, 2, 17, 31, 34, 62, 71, 142, 527, 1054, 1207, 2201, 2414, 4402, 37417

Step-4: Factors of 74849

List of positive integer factors of 74849 that divides 74834 without a remainder.

1, 29, 89, 841, 2581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74834 and 74849. The biggest common factor number is the GCF number.
So the greatest common factor 74834 and 74849 is 1.

Also check out the Least Common Multiple of 74834 and 74849