What is the Greatest Common Factor of 74148 and 74153?

Greatest common factor (GCF) of 74148 and 74153 is 1.

GCF(74148,74153) = 1

We will now calculate the prime factors of 74148 and 74153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74148 and 74153.

How to find the GCF of 74148 and 74153?

We will first find the prime factorization of 74148 and 74153. After we will calculate the factors of 74148 and 74153 and find the biggest common factor number .

Step-1: Prime Factorization of 74148

Prime factors of 74148 are 2, 3, 37, 167. Prime factorization of 74148 in exponential form is:

74148 = 2² × 3¹ × 37¹ × 167¹

Step-2: Prime Factorization of 74153

Prime factors of 74153 are 29, 2557. Prime factorization of 74153 in exponential form is:

74153 = 29¹ × 2557¹

Step-3: Factors of 74148

List of positive integer factors of 74148 that divides 74148 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 167, 222, 334, 444, 501, 668, 1002, 2004, 6179, 12358, 18537, 24716, 37074

Step-4: Factors of 74153

List of positive integer factors of 74153 that divides 74148 without a remainder.

1, 29, 2557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74148 and 74153. The biggest common factor number is the GCF number.
So the greatest common factor 74148 and 74153 is 1.

Also check out the Least Common Multiple of 74148 and 74153