What is the Greatest Common Factor of 74732 and 74749?

Greatest common factor (GCF) of 74732 and 74749 is 17.

GCF(74732,74749) = 17

We will now calculate the prime factors of 74732 and 74749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74732 and 74749.

How to find the GCF of 74732 and 74749?

We will first find the prime factorization of 74732 and 74749. After we will calculate the factors of 74732 and 74749 and find the biggest common factor number .

Step-1: Prime Factorization of 74732

Prime factors of 74732 are 2, 7, 17, 157. Prime factorization of 74732 in exponential form is:

74732 = 2² × 7¹ × 17¹ × 157¹

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 74732

List of positive integer factors of 74732 that divides 74732 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 157, 238, 314, 476, 628, 1099, 2198, 2669, 4396, 5338, 10676, 18683, 37366

Step-4: Factors of 74749

List of positive integer factors of 74749 that divides 74732 without a remainder.

1, 17, 4397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74732 and 74749. The biggest common factor number is the GCF number.
So the greatest common factor 74732 and 74749 is 17.

Also check out the Least Common Multiple of 74732 and 74749