What is the Greatest Common Factor of 64600 and 64617?

Greatest common factor (GCF) of 64600 and 64617 is 17.

GCF(64600,64617) = 17

We will now calculate the prime factors of 64600 and 64617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64600 and 64617.

How to find the GCF of 64600 and 64617?

We will first find the prime factorization of 64600 and 64617. After we will calculate the factors of 64600 and 64617 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 64617

Prime factors of 64617 are 3, 7, 17, 181. Prime factorization of 64617 in exponential form is:

64617 = 3¹ × 7¹ × 17¹ × 181¹

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 64617

List of positive integer factors of 64617 that divides 64600 without a remainder.

1, 3, 7, 17, 21, 51, 119, 181, 357, 543, 1267, 3077, 3801, 9231, 21539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64600 and 64617. The biggest common factor number is the GCF number.
So the greatest common factor 64600 and 64617 is 17.

Also check out the Least Common Multiple of 64600 and 64617