What is the Greatest Common Factor of 64075 and 64080?

Greatest common factor (GCF) of 64075 and 64080 is 5.

GCF(64075,64080) = 5

We will now calculate the prime factors of 64075 and 64080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64075 and 64080.

How to find the GCF of 64075 and 64080?

We will first find the prime factorization of 64075 and 64080. After we will calculate the factors of 64075 and 64080 and find the biggest common factor number .

Step-1: Prime Factorization of 64075

Prime factors of 64075 are 5, 11, 233. Prime factorization of 64075 in exponential form is:

64075 = 5² × 11¹ × 233¹

Step-2: 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-3: Factors of 64075

List of positive integer factors of 64075 that divides 64075 without a remainder.

1, 5, 11, 25, 55, 233, 275, 1165, 2563, 5825, 12815

Step-4: Factors of 64080

List of positive integer factors of 64080 that divides 64075 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64075 and 64080. The biggest common factor number is the GCF number.
So the greatest common factor 64075 and 64080 is 5.

Also check out the Least Common Multiple of 64075 and 64080