What is the Greatest Common Factor of 64034 and 64050?

Greatest common factor (GCF) of 64034 and 64050 is 2.

GCF(64034,64050) = 2

We will now calculate the prime factors of 64034 and 64050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64034 and 64050.

How to find the GCF of 64034 and 64050?

We will first find the prime factorization of 64034 and 64050. After we will calculate the factors of 64034 and 64050 and find the biggest common factor number .

Step-1: Prime Factorization of 64034

Prime factors of 64034 are 2, 101, 317. Prime factorization of 64034 in exponential form is:

64034 = 2¹ × 101¹ × 317¹

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 64034

List of positive integer factors of 64034 that divides 64034 without a remainder.

1, 2, 101, 202, 317, 634, 32017

Step-4: Factors of 64050

List of positive integer factors of 64050 that divides 64034 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 64034 and 64050. The biggest common factor number is the GCF number.
So the greatest common factor 64034 and 64050 is 2.

Also check out the Least Common Multiple of 64034 and 64050