What is the Greatest Common Factor of 74232 and 74242?

Greatest common factor (GCF) of 74232 and 74242 is 2.

GCF(74232,74242) = 2

We will now calculate the prime factors of 74232 and 74242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74232 and 74242.

How to find the GCF of 74232 and 74242?

We will first find the prime factorization of 74232 and 74242. After we will calculate the factors of 74232 and 74242 and find the biggest common factor number .

Step-1: Prime Factorization of 74232

Prime factors of 74232 are 2, 3, 1031. Prime factorization of 74232 in exponential form is:

74232 = 2³ × 3² × 1031¹

Step-2: Prime Factorization of 74242

Prime factors of 74242 are 2, 7, 5303. Prime factorization of 74242 in exponential form is:

74242 = 2¹ × 7¹ × 5303¹

Step-3: Factors of 74232

List of positive integer factors of 74232 that divides 74232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1031, 2062, 3093, 4124, 6186, 8248, 9279, 12372, 18558, 24744, 37116

Step-4: Factors of 74242

List of positive integer factors of 74242 that divides 74232 without a remainder.

1, 2, 7, 14, 5303, 10606, 37121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74232 and 74242. The biggest common factor number is the GCF number.
So the greatest common factor 74232 and 74242 is 2.

Also check out the Least Common Multiple of 74232 and 74242