What is the Greatest Common Factor of 64820 and 64835?

Greatest common factor (GCF) of 64820 and 64835 is 5.

GCF(64820,64835) = 5

We will now calculate the prime factors of 64820 and 64835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64820 and 64835.

How to find the GCF of 64820 and 64835?

We will first find the prime factorization of 64820 and 64835. After we will calculate the factors of 64820 and 64835 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64835

Prime factors of 64835 are 5, 12967. Prime factorization of 64835 in exponential form is:

64835 = 5¹ × 12967¹

Step-3: Factors of 64820

List of positive integer factors of 64820 that divides 64820 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

Step-4: Factors of 64835

List of positive integer factors of 64835 that divides 64820 without a remainder.

1, 5, 12967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64820 and 64835. The biggest common factor number is the GCF number.
So the greatest common factor 64820 and 64835 is 5.

Also check out the Least Common Multiple of 64820 and 64835