What is the Greatest Common Factor of 64050 and 64062?

Greatest common factor (GCF) of 64050 and 64062 is 6.

GCF(64050,64062) = 6

We will now calculate the prime factors of 64050 and 64062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64050 and 64062.

How to find the GCF of 64050 and 64062?

We will first find the prime factorization of 64050 and 64062. After we will calculate the factors of 64050 and 64062 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 64062

Prime factors of 64062 are 2, 3, 3559. Prime factorization of 64062 in exponential form is:

64062 = 2¹ × 3² × 3559¹

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 64062

List of positive integer factors of 64062 that divides 64050 without a remainder.

1, 2, 3, 6, 9, 18, 3559, 7118, 10677, 21354, 32031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64050 and 64062. The biggest common factor number is the GCF number.
So the greatest common factor 64050 and 64062 is 6.

Also check out the Least Common Multiple of 64050 and 64062