What is the Greatest Common Factor of 71468 and 71472?

Greatest common factor (GCF) of 71468 and 71472 is 4.

GCF(71468,71472) = 4

We will now calculate the prime factors of 71468 and 71472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71468 and 71472.

How to find the GCF of 71468 and 71472?

We will first find the prime factorization of 71468 and 71472. After we will calculate the factors of 71468 and 71472 and find the biggest common factor number .

Step-1: Prime Factorization of 71468

Prime factors of 71468 are 2, 17, 1051. Prime factorization of 71468 in exponential form is:

71468 = 2² × 17¹ × 1051¹

Step-2: Prime Factorization of 71472

Prime factors of 71472 are 2, 3, 1489. Prime factorization of 71472 in exponential form is:

71472 = 2⁴ × 3¹ × 1489¹

Step-3: Factors of 71468

List of positive integer factors of 71468 that divides 71468 without a remainder.

1, 2, 4, 17, 34, 68, 1051, 2102, 4204, 17867, 35734

Step-4: Factors of 71472

List of positive integer factors of 71472 that divides 71468 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1489, 2978, 4467, 5956, 8934, 11912, 17868, 23824, 35736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71468 and 71472. The biggest common factor number is the GCF number.
So the greatest common factor 71468 and 71472 is 4.

Also check out the Least Common Multiple of 71468 and 71472