What is the Greatest Common Factor of 64080 and 64100?

Greatest common factor (GCF) of 64080 and 64100 is 20.

GCF(64080,64100) = 20

We will now calculate the prime factors of 64080 and 64100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64080 and 64100.

How to find the GCF of 64080 and 64100?

We will first find the prime factorization of 64080 and 64100. After we will calculate the factors of 64080 and 64100 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 64100

Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:

64100 = 2² × 5² × 641¹

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 64100

List of positive integer factors of 64100 that divides 64080 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 641, 1282, 2564, 3205, 6410, 12820, 16025, 32050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64080 and 64100. The biggest common factor number is the GCF number.
So the greatest common factor 64080 and 64100 is 20.

Also check out the Least Common Multiple of 64080 and 64100