What is the Greatest Common Factor of 64032 and 64050?

Greatest common factor (GCF) of 64032 and 64050 is 6.

GCF(64032,64050) = 6

We will now calculate the prime factors of 64032 and 64050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64032 and 64050.

How to find the GCF of 64032 and 64050?

We will first find the prime factorization of 64032 and 64050. After we will calculate the factors of 64032 and 64050 and find the biggest common factor number .

Step-1: Prime Factorization of 64032

Prime factors of 64032 are 2, 3, 23, 29. Prime factorization of 64032 in exponential form is:

64032 = 2⁵ × 3¹ × 23¹ × 29¹

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 64032

List of positive integer factors of 64032 that divides 64032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 29, 32, 46, 48, 58, 69, 87, 92, 96, 116, 138, 174, 184, 232, 276, 348, 368, 464, 552, 667, 696, 736, 928, 1104, 1334, 1392, 2001, 2208, 2668, 2784, 4002, 5336, 8004, 10672, 16008, 21344, 32016

Step-4: Factors of 64050

List of positive integer factors of 64050 that divides 64032 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 64032 and 64050. The biggest common factor number is the GCF number.
So the greatest common factor 64032 and 64050 is 6.

Also check out the Least Common Multiple of 64032 and 64050