What is the Greatest Common Factor of 71488 and 71501?

Greatest common factor (GCF) of 71488 and 71501 is 1.

GCF(71488,71501) = 1

We will now calculate the prime factors of 71488 and 71501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71488 and 71501.

How to find the GCF of 71488 and 71501?

We will first find the prime factorization of 71488 and 71501. After we will calculate the factors of 71488 and 71501 and find the biggest common factor number .

Step-1: Prime Factorization of 71488

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

71488 = 2⁶ × 1117¹

Step-2: Prime Factorization of 71501

Prime factors of 71501 are 127, 563. Prime factorization of 71501 in exponential form is:

71501 = 127¹ × 563¹

Step-3: Factors of 71488

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

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

Step-4: Factors of 71501

List of positive integer factors of 71501 that divides 71488 without a remainder.

1, 127, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71488 and 71501. The biggest common factor number is the GCF number.
So the greatest common factor 71488 and 71501 is 1.

Also check out the Least Common Multiple of 71488 and 71501