What is the Greatest Common Factor of 64600 and 64615?

Greatest common factor (GCF) of 64600 and 64615 is 5.

GCF(64600,64615) = 5

We will now calculate the prime factors of 64600 and 64615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64600 and 64615.

How to find the GCF of 64600 and 64615?

We will first find the prime factorization of 64600 and 64615. After we will calculate the factors of 64600 and 64615 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 64615

Prime factors of 64615 are 5, 12923. Prime factorization of 64615 in exponential form is:

64615 = 5¹ × 12923¹

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 64615

List of positive integer factors of 64615 that divides 64600 without a remainder.

1, 5, 12923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64600 and 64615. The biggest common factor number is the GCF number.
So the greatest common factor 64600 and 64615 is 5.

Also check out the Least Common Multiple of 64600 and 64615