What is the Greatest Common Factor of 64825 and 64840?

Greatest common factor (GCF) of 64825 and 64840 is 5.

GCF(64825,64840) = 5

We will now calculate the prime factors of 64825 and 64840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64825 and 64840.

How to find the GCF of 64825 and 64840?

We will first find the prime factorization of 64825 and 64840. After we will calculate the factors of 64825 and 64840 and find the biggest common factor number .

Step-1: Prime Factorization of 64825

Prime factors of 64825 are 5, 2593. Prime factorization of 64825 in exponential form is:

64825 = 5² × 2593¹

Step-2: Prime Factorization of 64840

Prime factors of 64840 are 2, 5, 1621. Prime factorization of 64840 in exponential form is:

64840 = 2³ × 5¹ × 1621¹

Step-3: Factors of 64825

List of positive integer factors of 64825 that divides 64825 without a remainder.

1, 5, 25, 2593, 12965

Step-4: Factors of 64840

List of positive integer factors of 64840 that divides 64825 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1621, 3242, 6484, 8105, 12968, 16210, 32420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64825 and 64840. The biggest common factor number is the GCF number.
So the greatest common factor 64825 and 64840 is 5.

Also check out the Least Common Multiple of 64825 and 64840