What is the Greatest Common Factor of 64805 and 64820?

Greatest common factor (GCF) of 64805 and 64820 is 5.

GCF(64805,64820) = 5

We will now calculate the prime factors of 64805 and 64820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64805 and 64820.

How to find the GCF of 64805 and 64820?

We will first find the prime factorization of 64805 and 64820. After we will calculate the factors of 64805 and 64820 and find the biggest common factor number .

Step-1: Prime Factorization of 64805

Prime factors of 64805 are 5, 13, 997. Prime factorization of 64805 in exponential form is:

64805 = 5¹ × 13¹ × 997¹

Step-2: Prime Factorization of 64820

Prime factors of 64820 are 2, 5, 7, 463. Prime factorization of 64820 in exponential form is:

64820 = 2² × 5¹ × 7¹ × 463¹

Step-3: Factors of 64805

List of positive integer factors of 64805 that divides 64805 without a remainder.

1, 5, 13, 65, 997, 4985, 12961

Step-4: Factors of 64820

List of positive integer factors of 64820 that divides 64805 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 463, 926, 1852, 2315, 3241, 4630, 6482, 9260, 12964, 16205, 32410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64805 and 64820. The biggest common factor number is the GCF number.
So the greatest common factor 64805 and 64820 is 5.

Also check out the Least Common Multiple of 64805 and 64820