What is the Greatest Common Factor of 64820 and 64830?

Greatest common factor (GCF) of 64820 and 64830 is 10.

GCF(64820,64830) = 10

We will now calculate the prime factors of 64820 and 64830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64820 and 64830.

How to find the GCF of 64820 and 64830?

We will first find the prime factorization of 64820 and 64830. After we will calculate the factors of 64820 and 64830 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 64830

Prime factors of 64830 are 2, 3, 5, 2161. Prime factorization of 64830 in exponential form is:

64830 = 2¹ × 3¹ × 5¹ × 2161¹

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 64830

List of positive integer factors of 64830 that divides 64820 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2161, 4322, 6483, 10805, 12966, 21610, 32415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64820 and 64830. The biggest common factor number is the GCF number.
So the greatest common factor 64820 and 64830 is 10.

Also check out the Least Common Multiple of 64820 and 64830