What is the Greatest Common Factor of 71654 and 71668?

Greatest common factor (GCF) of 71654 and 71668 is 2.

GCF(71654,71668) = 2

We will now calculate the prime factors of 71654 and 71668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71654 and 71668.

How to find the GCF of 71654 and 71668?

We will first find the prime factorization of 71654 and 71668. After we will calculate the factors of 71654 and 71668 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 71668

Prime factors of 71668 are 2, 19, 23, 41. Prime factorization of 71668 in exponential form is:

71668 = 2² × 19¹ × 23¹ × 41¹

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 71668

List of positive integer factors of 71668 that divides 71654 without a remainder.

1, 2, 4, 19, 23, 38, 41, 46, 76, 82, 92, 164, 437, 779, 874, 943, 1558, 1748, 1886, 3116, 3772, 17917, 35834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71654 and 71668. The biggest common factor number is the GCF number.
So the greatest common factor 71654 and 71668 is 2.

Also check out the Least Common Multiple of 71654 and 71668