What is the Greatest Common Factor of 64035 and 64050?

Greatest common factor (GCF) of 64035 and 64050 is 15.

GCF(64035,64050) = 15

We will now calculate the prime factors of 64035 and 64050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64035 and 64050.

How to find the GCF of 64035 and 64050?

We will first find the prime factorization of 64035 and 64050. After we will calculate the factors of 64035 and 64050 and find the biggest common factor number .

Step-1: Prime Factorization of 64035

Prime factors of 64035 are 3, 5, 1423. Prime factorization of 64035 in exponential form is:

64035 = 3² × 5¹ × 1423¹

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 64035

List of positive integer factors of 64035 that divides 64035 without a remainder.

1, 3, 5, 9, 15, 45, 1423, 4269, 7115, 12807, 21345

Step-4: Factors of 64050

List of positive integer factors of 64050 that divides 64035 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 64035 and 64050. The biggest common factor number is the GCF number.
So the greatest common factor 64035 and 64050 is 15.

Also check out the Least Common Multiple of 64035 and 64050