What is the Greatest Common Factor of 74753 and 74773?

Greatest common factor (GCF) of 74753 and 74773 is 1.

GCF(74753,74773) = 1

We will now calculate the prime factors of 74753 and 74773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74753 and 74773.

How to find the GCF of 74753 and 74773?

We will first find the prime factorization of 74753 and 74773. After we will calculate the factors of 74753 and 74773 and find the biggest common factor number .

Step-1: Prime Factorization of 74753

Prime factors of 74753 are 7, 59, 181. Prime factorization of 74753 in exponential form is:

74753 = 7¹ × 59¹ × 181¹

Step-2: Prime Factorization of 74773

Prime factors of 74773 are 23, 3251. Prime factorization of 74773 in exponential form is:

74773 = 23¹ × 3251¹

Step-3: Factors of 74753

List of positive integer factors of 74753 that divides 74753 without a remainder.

1, 7, 59, 181, 413, 1267, 10679

Step-4: Factors of 74773

List of positive integer factors of 74773 that divides 74753 without a remainder.

1, 23, 3251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74753 and 74773. The biggest common factor number is the GCF number.
So the greatest common factor 74753 and 74773 is 1.

Also check out the Least Common Multiple of 74753 and 74773