What is the Greatest Common Factor of 74738 and 74749?

Greatest common factor (GCF) of 74738 and 74749 is 1.

GCF(74738,74749) = 1

We will now calculate the prime factors of 74738 and 74749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74738 and 74749.

How to find the GCF of 74738 and 74749?

We will first find the prime factorization of 74738 and 74749. After we will calculate the factors of 74738 and 74749 and find the biggest common factor number .

Step-1: Prime Factorization of 74738

Prime factors of 74738 are 2, 37369. Prime factorization of 74738 in exponential form is:

74738 = 2¹ × 37369¹

Step-2: Prime Factorization of 74749

Prime factors of 74749 are 17, 4397. Prime factorization of 74749 in exponential form is:

74749 = 17¹ × 4397¹

Step-3: Factors of 74738

List of positive integer factors of 74738 that divides 74738 without a remainder.

1, 2, 37369

Step-4: Factors of 74749

List of positive integer factors of 74749 that divides 74738 without a remainder.

1, 17, 4397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74738 and 74749. The biggest common factor number is the GCF number.
So the greatest common factor 74738 and 74749 is 1.

Also check out the Least Common Multiple of 74738 and 74749