What is the Greatest Common Factor of 74053 and 74059?

Greatest common factor (GCF) of 74053 and 74059 is 1.

GCF(74053,74059) = 1

We will now calculate the prime factors of 74053 and 74059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74053 and 74059.

How to find the GCF of 74053 and 74059?

We will first find the prime factorization of 74053 and 74059. After we will calculate the factors of 74053 and 74059 and find the biggest common factor number .

Step-1: Prime Factorization of 74053

Prime factors of 74053 are 7, 71, 149. Prime factorization of 74053 in exponential form is:

74053 = 7¹ × 71¹ × 149¹

Step-2: Prime Factorization of 74059

Prime factors of 74059 are 31, 2389. Prime factorization of 74059 in exponential form is:

74059 = 31¹ × 2389¹

Step-3: Factors of 74053

List of positive integer factors of 74053 that divides 74053 without a remainder.

1, 7, 71, 149, 497, 1043, 10579

Step-4: Factors of 74059

List of positive integer factors of 74059 that divides 74053 without a remainder.

1, 31, 2389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74053 and 74059. The biggest common factor number is the GCF number.
So the greatest common factor 74053 and 74059 is 1.

Also check out the Least Common Multiple of 74053 and 74059