What is the Greatest Common Factor of 71480 and 71485?

Greatest common factor (GCF) of 71480 and 71485 is 5.

GCF(71480,71485) = 5

We will now calculate the prime factors of 71480 and 71485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71480 and 71485.

How to find the GCF of 71480 and 71485?

We will first find the prime factorization of 71480 and 71485. After we will calculate the factors of 71480 and 71485 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71485

Prime factors of 71485 are 5, 17, 29. Prime factorization of 71485 in exponential form is:

71485 = 5¹ × 17¹ × 29²

Step-3: Factors of 71480

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

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

Step-4: Factors of 71485

List of positive integer factors of 71485 that divides 71480 without a remainder.

1, 5, 17, 29, 85, 145, 493, 841, 2465, 4205, 14297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71480 and 71485. The biggest common factor number is the GCF number.
So the greatest common factor 71480 and 71485 is 5.

Also check out the Least Common Multiple of 71480 and 71485