What is the Greatest Common Factor of 71654 and 71665?

Greatest common factor (GCF) of 71654 and 71665 is 11.

GCF(71654,71665) = 11

We will now calculate the prime factors of 71654 and 71665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71654 and 71665.

How to find the GCF of 71654 and 71665?

We will first find the prime factorization of 71654 and 71665. After we will calculate the factors of 71654 and 71665 and find the biggest common factor number .

Step-1: Prime Factorization of 71654

Prime factors of 71654 are 2, 11, 3257. Prime factorization of 71654 in exponential form is:

71654 = 2¹ × 11¹ × 3257¹

Step-2: Prime Factorization of 71665

Prime factors of 71665 are 5, 11, 1303. Prime factorization of 71665 in exponential form is:

71665 = 5¹ × 11¹ × 1303¹

Step-3: Factors of 71654

List of positive integer factors of 71654 that divides 71654 without a remainder.

1, 2, 11, 22, 3257, 6514, 35827

Step-4: Factors of 71665

List of positive integer factors of 71665 that divides 71654 without a remainder.

1, 5, 11, 55, 1303, 6515, 14333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71654 and 71665. The biggest common factor number is the GCF number.
So the greatest common factor 71654 and 71665 is 11.

Also check out the Least Common Multiple of 71654 and 71665