What is the Greatest Common Factor of 71472 and 71480?

Greatest common factor (GCF) of 71472 and 71480 is 8.

GCF(71472,71480) = 8

We will now calculate the prime factors of 71472 and 71480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71472 and 71480.

How to find the GCF of 71472 and 71480?

We will first find the prime factorization of 71472 and 71480. After we will calculate the factors of 71472 and 71480 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 71480

Prime factors of 71480 are 2, 5, 1787. Prime factorization of 71480 in exponential form is:

71480 = 2³ × 5¹ × 1787¹

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 71480

List of positive integer factors of 71480 that divides 71472 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1787, 3574, 7148, 8935, 14296, 17870, 35740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71472 and 71480. The biggest common factor number is the GCF number.
So the greatest common factor 71472 and 71480 is 8.

Also check out the Least Common Multiple of 71472 and 71480