What is the Greatest Common Factor of 74262 and 74271?

Greatest common factor (GCF) of 74262 and 74271 is 3.

GCF(74262,74271) = 3

We will now calculate the prime factors of 74262 and 74271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74262 and 74271.

How to find the GCF of 74262 and 74271?

We will first find the prime factorization of 74262 and 74271. After we will calculate the factors of 74262 and 74271 and find the biggest common factor number .

Step-1: Prime Factorization of 74262

Prime factors of 74262 are 2, 3, 12377. Prime factorization of 74262 in exponential form is:

74262 = 2¹ × 3¹ × 12377¹

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 74262

List of positive integer factors of 74262 that divides 74262 without a remainder.

1, 2, 3, 6, 12377, 24754, 37131

Step-4: Factors of 74271

List of positive integer factors of 74271 that divides 74262 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74262 and 74271. The biggest common factor number is the GCF number.
So the greatest common factor 74262 and 74271 is 3.

Also check out the Least Common Multiple of 74262 and 74271