What is the Greatest Common Factor of 71456 and 71460?

Greatest common factor (GCF) of 71456 and 71460 is 4.

GCF(71456,71460) = 4

We will now calculate the prime factors of 71456 and 71460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71456 and 71460.

How to find the GCF of 71456 and 71460?

We will first find the prime factorization of 71456 and 71460. After we will calculate the factors of 71456 and 71460 and find the biggest common factor number .

Step-1: Prime Factorization of 71456

Prime factors of 71456 are 2, 7, 11, 29. Prime factorization of 71456 in exponential form is:

71456 = 2⁵ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 71460

Prime factors of 71460 are 2, 3, 5, 397. Prime factorization of 71460 in exponential form is:

71460 = 2² × 3² × 5¹ × 397¹

Step-3: Factors of 71456

List of positive integer factors of 71456 that divides 71456 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 29, 32, 44, 56, 58, 77, 88, 112, 116, 154, 176, 203, 224, 232, 308, 319, 352, 406, 464, 616, 638, 812, 928, 1232, 1276, 1624, 2233, 2464, 2552, 3248, 4466, 5104, 6496, 8932, 10208, 17864, 35728

Step-4: Factors of 71460

List of positive integer factors of 71460 that divides 71456 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 397, 794, 1191, 1588, 1985, 2382, 3573, 3970, 4764, 5955, 7146, 7940, 11910, 14292, 17865, 23820, 35730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71456 and 71460. The biggest common factor number is the GCF number.
So the greatest common factor 71456 and 71460 is 4.

Also check out the Least Common Multiple of 71456 and 71460