What is the Greatest Common Factor of 71538 and 71554?

Greatest common factor (GCF) of 71538 and 71554 is 2.

GCF(71538,71554) = 2

We will now calculate the prime factors of 71538 and 71554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71538 and 71554.

How to find the GCF of 71538 and 71554?

We will first find the prime factorization of 71538 and 71554. After we will calculate the factors of 71538 and 71554 and find the biggest common factor number .

Step-1: Prime Factorization of 71538

Prime factors of 71538 are 2, 3, 11923. Prime factorization of 71538 in exponential form is:

71538 = 2¹ × 3¹ × 11923¹

Step-2: Prime Factorization of 71554

Prime factors of 71554 are 2, 7, 19, 269. Prime factorization of 71554 in exponential form is:

71554 = 2¹ × 7¹ × 19¹ × 269¹

Step-3: Factors of 71538

List of positive integer factors of 71538 that divides 71538 without a remainder.

1, 2, 3, 6, 11923, 23846, 35769

Step-4: Factors of 71554

List of positive integer factors of 71554 that divides 71538 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 269, 538, 1883, 3766, 5111, 10222, 35777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71538 and 71554. The biggest common factor number is the GCF number.
So the greatest common factor 71538 and 71554 is 2.

Also check out the Least Common Multiple of 71538 and 71554