What is the Greatest Common Factor of 64600 and 64616?

Greatest common factor (GCF) of 64600 and 64616 is 8.

GCF(64600,64616) = 8

We will now calculate the prime factors of 64600 and 64616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64600 and 64616.

How to find the GCF of 64600 and 64616?

We will first find the prime factorization of 64600 and 64616. After we will calculate the factors of 64600 and 64616 and find the biggest common factor number .

Step-1: Prime Factorization of 64600

Prime factors of 64600 are 2, 5, 17, 19. Prime factorization of 64600 in exponential form is:

64600 = 2³ × 5² × 17¹ × 19¹

Step-2: Prime Factorization of 64616

Prime factors of 64616 are 2, 41, 197. Prime factorization of 64616 in exponential form is:

64616 = 2³ × 41¹ × 197¹

Step-3: Factors of 64600

List of positive integer factors of 64600 that divides 64600 without a remainder.

1, 2, 4, 5, 8, 10, 17, 19, 20, 25, 34, 38, 40, 50, 68, 76, 85, 95, 100, 136, 152, 170, 190, 200, 323, 340, 380, 425, 475, 646, 680, 760, 850, 950, 1292, 1615, 1700, 1900, 2584, 3230, 3400, 3800, 6460, 8075, 12920, 16150, 32300

Step-4: Factors of 64616

List of positive integer factors of 64616 that divides 64600 without a remainder.

1, 2, 4, 8, 41, 82, 164, 197, 328, 394, 788, 1576, 8077, 16154, 32308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64600 and 64616. The biggest common factor number is the GCF number.
So the greatest common factor 64600 and 64616 is 8.

Also check out the Least Common Multiple of 64600 and 64616