What is the Greatest Common Factor of 74727 and 74732?

Greatest common factor (GCF) of 74727 and 74732 is 1.

GCF(74727,74732) = 1

We will now calculate the prime factors of 74727 and 74732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74727 and 74732.

How to find the GCF of 74727 and 74732?

We will first find the prime factorization of 74727 and 74732. After we will calculate the factors of 74727 and 74732 and find the biggest common factor number .

Step-1: Prime Factorization of 74727

Prime factors of 74727 are 3, 19, 23. Prime factorization of 74727 in exponential form is:

74727 = 3² × 19² × 23¹

Step-2: 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-3: Factors of 74727

List of positive integer factors of 74727 that divides 74727 without a remainder.

1, 3, 9, 19, 23, 57, 69, 171, 207, 361, 437, 1083, 1311, 3249, 3933, 8303, 24909

Step-4: Factors of 74732

List of positive integer factors of 74732 that divides 74727 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74727 and 74732. The biggest common factor number is the GCF number.
So the greatest common factor 74727 and 74732 is 1.

Also check out the Least Common Multiple of 74727 and 74732