What is the Greatest Common Factor of 64080 and 64084?

Greatest common factor (GCF) of 64080 and 64084 is 4.

GCF(64080,64084) = 4

We will now calculate the prime factors of 64080 and 64084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64080 and 64084.

How to find the GCF of 64080 and 64084?

We will first find the prime factorization of 64080 and 64084. After we will calculate the factors of 64080 and 64084 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 64084

Prime factors of 64084 are 2, 37, 433. Prime factorization of 64084 in exponential form is:

64084 = 2² × 37¹ × 433¹

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 64084

List of positive integer factors of 64084 that divides 64080 without a remainder.

1, 2, 4, 37, 74, 148, 433, 866, 1732, 16021, 32042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64080 and 64084. The biggest common factor number is the GCF number.
So the greatest common factor 64080 and 64084 is 4.

Also check out the Least Common Multiple of 64080 and 64084