What is the Greatest Common Factor of 64080 and 64086?

Greatest common factor (GCF) of 64080 and 64086 is 6.

GCF(64080,64086) = 6

We will now calculate the prime factors of 64080 and 64086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64080 and 64086.

How to find the GCF of 64080 and 64086?

We will first find the prime factorization of 64080 and 64086. After we will calculate the factors of 64080 and 64086 and find the biggest common factor number .

Step-1: Prime Factorization of 64080

Prime factors of 64080 are 2, 3, 5, 89. Prime factorization of 64080 in exponential form is:

64080 = 2⁴ × 3² × 5¹ × 89¹

Step-2: Prime Factorization of 64086

Prime factors of 64086 are 2, 3, 11, 971. Prime factorization of 64086 in exponential form is:

64086 = 2¹ × 3¹ × 11¹ × 971¹

Step-3: Factors of 64080

List of positive integer factors of 64080 that divides 64080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 89, 90, 120, 144, 178, 180, 240, 267, 356, 360, 445, 534, 712, 720, 801, 890, 1068, 1335, 1424, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 4272, 5340, 6408, 7120, 8010, 10680, 12816, 16020, 21360, 32040

Step-4: Factors of 64086

List of positive integer factors of 64086 that divides 64080 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 971, 1942, 2913, 5826, 10681, 21362, 32043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64080 and 64086. The biggest common factor number is the GCF number.
So the greatest common factor 64080 and 64086 is 6.

Also check out the Least Common Multiple of 64080 and 64086