What is the Greatest Common Factor of 64050 and 64055?

Greatest common factor (GCF) of 64050 and 64055 is 5.

GCF(64050,64055) = 5

We will now calculate the prime factors of 64050 and 64055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64050 and 64055.

How to find the GCF of 64050 and 64055?

We will first find the prime factorization of 64050 and 64055. After we will calculate the factors of 64050 and 64055 and find the biggest common factor number .

Step-1: Prime Factorization of 64050

Prime factors of 64050 are 2, 3, 5, 7, 61. Prime factorization of 64050 in exponential form is:

64050 = 2¹ × 3¹ × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 64055

Prime factors of 64055 are 5, 23, 557. Prime factorization of 64055 in exponential form is:

64055 = 5¹ × 23¹ × 557¹

Step-3: Factors of 64050

List of positive integer factors of 64050 that divides 64050 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 61, 70, 75, 105, 122, 150, 175, 183, 210, 305, 350, 366, 427, 525, 610, 854, 915, 1050, 1281, 1525, 1830, 2135, 2562, 3050, 4270, 4575, 6405, 9150, 10675, 12810, 21350, 32025

Step-4: Factors of 64055

List of positive integer factors of 64055 that divides 64050 without a remainder.

1, 5, 23, 115, 557, 2785, 12811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64050 and 64055. The biggest common factor number is the GCF number.
So the greatest common factor 64050 and 64055 is 5.

Also check out the Least Common Multiple of 64050 and 64055