What is the Greatest Common Factor of 64770 and 64775?

Greatest common factor (GCF) of 64770 and 64775 is 5.

GCF(64770,64775) = 5

We will now calculate the prime factors of 64770 and 64775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64770 and 64775.

How to find the GCF of 64770 and 64775?

We will first find the prime factorization of 64770 and 64775. After we will calculate the factors of 64770 and 64775 and find the biggest common factor number .

Step-1: Prime Factorization of 64770

Prime factors of 64770 are 2, 3, 5, 17, 127. Prime factorization of 64770 in exponential form is:

64770 = 2¹ × 3¹ × 5¹ × 17¹ × 127¹

Step-2: Prime Factorization of 64775

Prime factors of 64775 are 5, 2591. Prime factorization of 64775 in exponential form is:

64775 = 5² × 2591¹

Step-3: Factors of 64770

List of positive integer factors of 64770 that divides 64770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 127, 170, 254, 255, 381, 510, 635, 762, 1270, 1905, 2159, 3810, 4318, 6477, 10795, 12954, 21590, 32385

Step-4: Factors of 64775

List of positive integer factors of 64775 that divides 64770 without a remainder.

1, 5, 25, 2591, 12955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64770 and 64775. The biggest common factor number is the GCF number.
So the greatest common factor 64770 and 64775 is 5.

Also check out the Least Common Multiple of 64770 and 64775