What is the Greatest Common Factor of 71472 and 71488?

Greatest common factor (GCF) of 71472 and 71488 is 16.

GCF(71472,71488) = 16

We will now calculate the prime factors of 71472 and 71488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71472 and 71488.

How to find the GCF of 71472 and 71488?

We will first find the prime factorization of 71472 and 71488. After we will calculate the factors of 71472 and 71488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71488

Prime factors of 71488 are 2, 1117. Prime factorization of 71488 in exponential form is:

71488 = 2⁶ × 1117¹

Step-3: Factors of 71472

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

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

Step-4: Factors of 71488

List of positive integer factors of 71488 that divides 71472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1117, 2234, 4468, 8936, 17872, 35744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71472 and 71488. The biggest common factor number is the GCF number.
So the greatest common factor 71472 and 71488 is 16.

Also check out the Least Common Multiple of 71472 and 71488