What is the Greatest Common Factor of 71540 and 71554?

Greatest common factor (GCF) of 71540 and 71554 is 14.

GCF(71540,71554) = 14

We will now calculate the prime factors of 71540 and 71554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71540 and 71554.

How to find the GCF of 71540 and 71554?

We will first find the prime factorization of 71540 and 71554. After we will calculate the factors of 71540 and 71554 and find the biggest common factor number .

Step-1: Prime Factorization of 71540

Prime factors of 71540 are 2, 5, 7, 73. Prime factorization of 71540 in exponential form is:

71540 = 2² × 5¹ × 7² × 73¹

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 71540

List of positive integer factors of 71540 that divides 71540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 73, 98, 140, 146, 196, 245, 292, 365, 490, 511, 730, 980, 1022, 1460, 2044, 2555, 3577, 5110, 7154, 10220, 14308, 17885, 35770

Step-4: Factors of 71554

List of positive integer factors of 71554 that divides 71540 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 71540 and 71554. The biggest common factor number is the GCF number.
So the greatest common factor 71540 and 71554 is 14.

Also check out the Least Common Multiple of 71540 and 71554