What is the Greatest Common Factor of 74053 and 74063?

Greatest common factor (GCF) of 74053 and 74063 is 1.

GCF(74053,74063) = 1

We will now calculate the prime factors of 74053 and 74063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74053 and 74063.

How to find the GCF of 74053 and 74063?

We will first find the prime factorization of 74053 and 74063. After we will calculate the factors of 74053 and 74063 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 74063

Prime factors of 74063 are 11, 6733. Prime factorization of 74063 in exponential form is:

74063 = 11¹ × 6733¹

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 74063

List of positive integer factors of 74063 that divides 74053 without a remainder.

1, 11, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74053 and 74063. The biggest common factor number is the GCF number.
So the greatest common factor 74053 and 74063 is 1.

Also check out the Least Common Multiple of 74053 and 74063