What is the Greatest Common Factor of 71472 and 71489?

Greatest common factor (GCF) of 71472 and 71489 is 1.

GCF(71472,71489) = 1

We will now calculate the prime factors of 71472 and 71489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71472 and 71489.

How to find the GCF of 71472 and 71489?

We will first find the prime factorization of 71472 and 71489. After we will calculate the factors of 71472 and 71489 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 71489

Prime factors of 71489 are 11, 67, 97. Prime factorization of 71489 in exponential form is:

71489 = 11¹ × 67¹ × 97¹

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 71489

List of positive integer factors of 71489 that divides 71472 without a remainder.

1, 11, 67, 97, 737, 1067, 6499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71472 and 71489. The biggest common factor number is the GCF number.
So the greatest common factor 71472 and 71489 is 1.

Also check out the Least Common Multiple of 71472 and 71489