What is the Greatest Common Factor of 71465 and 71482?

Greatest common factor (GCF) of 71465 and 71482 is 1.

GCF(71465,71482) = 1

We will now calculate the prime factors of 71465 and 71482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71465 and 71482.

How to find the GCF of 71465 and 71482?

We will first find the prime factorization of 71465 and 71482. After we will calculate the factors of 71465 and 71482 and find the biggest common factor number .

Step-1: Prime Factorization of 71465

Prime factors of 71465 are 5, 14293. Prime factorization of 71465 in exponential form is:

71465 = 5¹ × 14293¹

Step-2: Prime Factorization of 71482

Prime factors of 71482 are 2, 103, 347. Prime factorization of 71482 in exponential form is:

71482 = 2¹ × 103¹ × 347¹

Step-3: Factors of 71465

List of positive integer factors of 71465 that divides 71465 without a remainder.

1, 5, 14293

Step-4: Factors of 71482

List of positive integer factors of 71482 that divides 71465 without a remainder.

1, 2, 103, 206, 347, 694, 35741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71465 and 71482. The biggest common factor number is the GCF number.
So the greatest common factor 71465 and 71482 is 1.

Also check out the Least Common Multiple of 71465 and 71482