What is the Greatest Common Factor of 64460 and 64465?

Greatest common factor (GCF) of 64460 and 64465 is 5.

GCF(64460,64465) = 5

We will now calculate the prime factors of 64460 and 64465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64460 and 64465.

How to find the GCF of 64460 and 64465?

We will first find the prime factorization of 64460 and 64465. After we will calculate the factors of 64460 and 64465 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 64465

Prime factors of 64465 are 5, 12893. Prime factorization of 64465 in exponential form is:

64465 = 5¹ × 12893¹

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 64465

List of positive integer factors of 64465 that divides 64460 without a remainder.

1, 5, 12893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64460 and 64465. The biggest common factor number is the GCF number.
So the greatest common factor 64460 and 64465 is 5.

Also check out the Least Common Multiple of 64460 and 64465