What is the Greatest Common Factor of 71497 and 71516?

Greatest common factor (GCF) of 71497 and 71516 is 19.

GCF(71497,71516) = 19

We will now calculate the prime factors of 71497 and 71516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71497 and 71516.

How to find the GCF of 71497 and 71516?

We will first find the prime factorization of 71497 and 71516. After we will calculate the factors of 71497 and 71516 and find the biggest common factor number .

Step-1: Prime Factorization of 71497

Prime factors of 71497 are 19, 53, 71. Prime factorization of 71497 in exponential form is:

71497 = 19¹ × 53¹ × 71¹

Step-2: Prime Factorization of 71516

Prime factors of 71516 are 2, 19, 941. Prime factorization of 71516 in exponential form is:

71516 = 2² × 19¹ × 941¹

Step-3: Factors of 71497

List of positive integer factors of 71497 that divides 71497 without a remainder.

1, 19, 53, 71, 1007, 1349, 3763

Step-4: Factors of 71516

List of positive integer factors of 71516 that divides 71497 without a remainder.

1, 2, 4, 19, 38, 76, 941, 1882, 3764, 17879, 35758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71497 and 71516. The biggest common factor number is the GCF number.
So the greatest common factor 71497 and 71516 is 19.

Also check out the Least Common Multiple of 71497 and 71516