What is the Greatest Common Factor of 64038 and 64050?

Greatest common factor (GCF) of 64038 and 64050 is 6.

GCF(64038,64050) = 6

We will now calculate the prime factors of 64038 and 64050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64038 and 64050.

How to find the GCF of 64038 and 64050?

We will first find the prime factorization of 64038 and 64050. After we will calculate the factors of 64038 and 64050 and find the biggest common factor number .

Step-1: Prime Factorization of 64038

Prime factors of 64038 are 2, 3, 13, 821. Prime factorization of 64038 in exponential form is:

64038 = 2¹ × 3¹ × 13¹ × 821¹

Step-2: 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-3: Factors of 64038

List of positive integer factors of 64038 that divides 64038 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 821, 1642, 2463, 4926, 10673, 21346, 32019

Step-4: Factors of 64050

List of positive integer factors of 64050 that divides 64038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64038 and 64050. The biggest common factor number is the GCF number.
So the greatest common factor 64038 and 64050 is 6.

Also check out the Least Common Multiple of 64038 and 64050