What is the Greatest Common Factor of 64050 and 64059?

Greatest common factor (GCF) of 64050 and 64059 is 3.

GCF(64050,64059) = 3

We will now calculate the prime factors of 64050 and 64059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64050 and 64059.

How to find the GCF of 64050 and 64059?

We will first find the prime factorization of 64050 and 64059. After we will calculate the factors of 64050 and 64059 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 64059

Prime factors of 64059 are 3, 131, 163. Prime factorization of 64059 in exponential form is:

64059 = 3¹ × 131¹ × 163¹

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 64059

List of positive integer factors of 64059 that divides 64050 without a remainder.

1, 3, 131, 163, 393, 489, 21353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64050 and 64059. The biggest common factor number is the GCF number.
So the greatest common factor 64050 and 64059 is 3.

Also check out the Least Common Multiple of 64050 and 64059