What is the Greatest Common Factor of 64460 and 64471?

Greatest common factor (GCF) of 64460 and 64471 is 11.

GCF(64460,64471) = 11

We will now calculate the prime factors of 64460 and 64471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64460 and 64471.

How to find the GCF of 64460 and 64471?

We will first find the prime factorization of 64460 and 64471. After we will calculate the factors of 64460 and 64471 and find the biggest common factor number .

Step-1: Prime Factorization of 64460

Prime factors of 64460 are 2, 5, 11, 293. Prime factorization of 64460 in exponential form is:

64460 = 2² × 5¹ × 11¹ × 293¹

Step-2: Prime Factorization of 64471

Prime factors of 64471 are 11, 5861. Prime factorization of 64471 in exponential form is:

64471 = 11¹ × 5861¹

Step-3: Factors of 64460

List of positive integer factors of 64460 that divides 64460 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 293, 586, 1172, 1465, 2930, 3223, 5860, 6446, 12892, 16115, 32230

Step-4: Factors of 64471

List of positive integer factors of 64471 that divides 64460 without a remainder.

1, 11, 5861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64460 and 64471. The biggest common factor number is the GCF number.
So the greatest common factor 64460 and 64471 is 11.

Also check out the Least Common Multiple of 64460 and 64471