What is the Greatest Common Factor of 64820 and 64827?

Greatest common factor (GCF) of 64820 and 64827 is 7.

GCF(64820,64827) = 7

We will now calculate the prime factors of 64820 and 64827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64820 and 64827.

How to find the GCF of 64820 and 64827?

We will first find the prime factorization of 64820 and 64827. After we will calculate the factors of 64820 and 64827 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 64827

Prime factors of 64827 are 3, 7. Prime factorization of 64827 in exponential form is:

64827 = 3³ × 7⁴

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 64827

List of positive integer factors of 64827 that divides 64820 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 2401, 3087, 7203, 9261, 21609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64820 and 64827. The biggest common factor number is the GCF number.
So the greatest common factor 64820 and 64827 is 7.

Also check out the Least Common Multiple of 64820 and 64827