What is the Greatest Common Factor of 64050 and 64070?

Greatest common factor (GCF) of 64050 and 64070 is 10.

GCF(64050,64070) = 10

We will now calculate the prime factors of 64050 and 64070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64050 and 64070.

How to find the GCF of 64050 and 64070?

We will first find the prime factorization of 64050 and 64070. After we will calculate the factors of 64050 and 64070 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 64070

Prime factors of 64070 are 2, 5, 43, 149. Prime factorization of 64070 in exponential form is:

64070 = 2¹ × 5¹ × 43¹ × 149¹

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 64070

List of positive integer factors of 64070 that divides 64050 without a remainder.

1, 2, 5, 10, 43, 86, 149, 215, 298, 430, 745, 1490, 6407, 12814, 32035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64050 and 64070. The biggest common factor number is the GCF number.
So the greatest common factor 64050 and 64070 is 10.

Also check out the Least Common Multiple of 64050 and 64070