What is the Greatest Common Factor of 74269 and 74282?

Greatest common factor (GCF) of 74269 and 74282 is 13.

GCF(74269,74282) = 13

We will now calculate the prime factors of 74269 and 74282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74269 and 74282.

How to find the GCF of 74269 and 74282?

We will first find the prime factorization of 74269 and 74282. After we will calculate the factors of 74269 and 74282 and find the biggest common factor number .

Step-1: Prime Factorization of 74269

Prime factors of 74269 are 13, 29, 197. Prime factorization of 74269 in exponential form is:

74269 = 13¹ × 29¹ × 197¹

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 74269

List of positive integer factors of 74269 that divides 74269 without a remainder.

1, 13, 29, 197, 377, 2561, 5713

Step-4: Factors of 74282

List of positive integer factors of 74282 that divides 74269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74269 and 74282. The biggest common factor number is the GCF number.
So the greatest common factor 74269 and 74282 is 13.

Also check out the Least Common Multiple of 74269 and 74282