What is the Greatest Common Factor of 74265 and 74271?

Greatest common factor (GCF) of 74265 and 74271 is 3.

GCF(74265,74271) = 3

We will now calculate the prime factors of 74265 and 74271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74265 and 74271.

How to find the GCF of 74265 and 74271?

We will first find the prime factorization of 74265 and 74271. After we will calculate the factors of 74265 and 74271 and find the biggest common factor number .

Step-1: Prime Factorization of 74265

Prime factors of 74265 are 3, 5, 4951. Prime factorization of 74265 in exponential form is:

74265 = 3¹ × 5¹ × 4951¹

Step-2: 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-3: Factors of 74265

List of positive integer factors of 74265 that divides 74265 without a remainder.

1, 3, 5, 15, 4951, 14853, 24755

Step-4: Factors of 74271

List of positive integer factors of 74271 that divides 74265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74265 and 74271. The biggest common factor number is the GCF number.
So the greatest common factor 74265 and 74271 is 3.

Also check out the Least Common Multiple of 74265 and 74271