What is the Greatest Common Factor of 71460 and 71464?

Greatest common factor (GCF) of 71460 and 71464 is 4.

GCF(71460,71464) = 4

We will now calculate the prime factors of 71460 and 71464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71460 and 71464.

How to find the GCF of 71460 and 71464?

We will first find the prime factorization of 71460 and 71464. After we will calculate the factors of 71460 and 71464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71464

Prime factors of 71464 are 2, 8933. Prime factorization of 71464 in exponential form is:

71464 = 2³ × 8933¹

Step-3: Factors of 71460

List of positive integer factors of 71460 that divides 71460 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

Step-4: Factors of 71464

List of positive integer factors of 71464 that divides 71460 without a remainder.

1, 2, 4, 8, 8933, 17866, 35732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71460 and 71464. The biggest common factor number is the GCF number.
So the greatest common factor 71460 and 71464 is 4.

Also check out the Least Common Multiple of 71460 and 71464