What is the Greatest Common Factor of 71654 and 71672?

Greatest common factor (GCF) of 71654 and 71672 is 2.

GCF(71654,71672) = 2

We will now calculate the prime factors of 71654 and 71672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71654 and 71672.

How to find the GCF of 71654 and 71672?

We will first find the prime factorization of 71654 and 71672. After we will calculate the factors of 71654 and 71672 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 71672

Prime factors of 71672 are 2, 17, 31. Prime factorization of 71672 in exponential form is:

71672 = 2³ × 17² × 31¹

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 71672

List of positive integer factors of 71672 that divides 71654 without a remainder.

1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 289, 527, 578, 1054, 1156, 2108, 2312, 4216, 8959, 17918, 35836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71654 and 71672. The biggest common factor number is the GCF number.
So the greatest common factor 71654 and 71672 is 2.

Also check out the Least Common Multiple of 71654 and 71672