What is the Greatest Common Factor of 74749 and 74765?

Greatest common factor (GCF) of 74749 and 74765 is 1.

GCF(74749,74765) = 1

We will now calculate the prime factors of 74749 and 74765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74749 and 74765.

How to find the GCF of 74749 and 74765?

We will first find the prime factorization of 74749 and 74765. After we will calculate the factors of 74749 and 74765 and find the biggest common factor number .

Step-1: Prime Factorization of 74749

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

74749 = 17¹ × 4397¹

Step-2: Prime Factorization of 74765

Prime factors of 74765 are 5, 19, 787. Prime factorization of 74765 in exponential form is:

74765 = 5¹ × 19¹ × 787¹

Step-3: Factors of 74749

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

1, 17, 4397

Step-4: Factors of 74765

List of positive integer factors of 74765 that divides 74749 without a remainder.

1, 5, 19, 95, 787, 3935, 14953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74749 and 74765. The biggest common factor number is the GCF number.
So the greatest common factor 74749 and 74765 is 1.

Also check out the Least Common Multiple of 74749 and 74765