What is the Greatest Common Factor of 74238 and 74245?

Greatest common factor (GCF) of 74238 and 74245 is 1.

GCF(74238,74245) = 1

We will now calculate the prime factors of 74238 and 74245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74238 and 74245.

How to find the GCF of 74238 and 74245?

We will first find the prime factorization of 74238 and 74245. After we will calculate the factors of 74238 and 74245 and find the biggest common factor number .

Step-1: Prime Factorization of 74238

Prime factors of 74238 are 2, 3, 12373. Prime factorization of 74238 in exponential form is:

74238 = 2¹ × 3¹ × 12373¹

Step-2: Prime Factorization of 74245

Prime factors of 74245 are 5, 31, 479. Prime factorization of 74245 in exponential form is:

74245 = 5¹ × 31¹ × 479¹

Step-3: Factors of 74238

List of positive integer factors of 74238 that divides 74238 without a remainder.

1, 2, 3, 6, 12373, 24746, 37119

Step-4: Factors of 74245

List of positive integer factors of 74245 that divides 74238 without a remainder.

1, 5, 31, 155, 479, 2395, 14849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74238 and 74245. The biggest common factor number is the GCF number.
So the greatest common factor 74238 and 74245 is 1.

Also check out the Least Common Multiple of 74238 and 74245