What is the Greatest Common Factor of 71535 and 71554?

Greatest common factor (GCF) of 71535 and 71554 is 19.

GCF(71535,71554) = 19

We will now calculate the prime factors of 71535 and 71554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71535 and 71554.

How to find the GCF of 71535 and 71554?

We will first find the prime factorization of 71535 and 71554. After we will calculate the factors of 71535 and 71554 and find the biggest common factor number .

Step-1: Prime Factorization of 71535

Prime factors of 71535 are 3, 5, 19, 251. Prime factorization of 71535 in exponential form is:

71535 = 3¹ × 5¹ × 19¹ × 251¹

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 71535

List of positive integer factors of 71535 that divides 71535 without a remainder.

1, 3, 5, 15, 19, 57, 95, 251, 285, 753, 1255, 3765, 4769, 14307, 23845

Step-4: Factors of 71554

List of positive integer factors of 71554 that divides 71535 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 71535 and 71554. The biggest common factor number is the GCF number.
So the greatest common factor 71535 and 71554 is 19.

Also check out the Least Common Multiple of 71535 and 71554