What is the Greatest Common Factor of 74271 and 74282?

Greatest common factor (GCF) of 74271 and 74282 is 1.

GCF(74271,74282) = 1

We will now calculate the prime factors of 74271 and 74282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74271 and 74282.

How to find the GCF of 74271 and 74282?

We will first find the prime factorization of 74271 and 74282. After we will calculate the factors of 74271 and 74282 and find the biggest common factor number .

Step-1: Prime Factorization of 74271

Prime factors of 74271 are 3, 19, 1303. Prime factorization of 74271 in exponential form is:

74271 = 3¹ × 19¹ × 1303¹

Step-2: Prime Factorization of 74282

Prime factors of 74282 are 2, 13, 2857. Prime factorization of 74282 in exponential form is:

74282 = 2¹ × 13¹ × 2857¹

Step-3: Factors of 74271

List of positive integer factors of 74271 that divides 74271 without a remainder.

1, 3, 19, 57, 1303, 3909, 24757

Step-4: Factors of 74282

List of positive integer factors of 74282 that divides 74271 without a remainder.

1, 2, 13, 26, 2857, 5714, 37141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74271 and 74282. The biggest common factor number is the GCF number.
So the greatest common factor 74271 and 74282 is 1.

Also check out the Least Common Multiple of 74271 and 74282