What is the Greatest Common Factor of 70544 and 70560?

Greatest common factor (GCF) of 70544 and 70560 is 16.

GCF(70544,70560) = 16

We will now calculate the prime factors of 70544 and 70560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70544 and 70560.

How to find the GCF of 70544 and 70560?

We will first find the prime factorization of 70544 and 70560. After we will calculate the factors of 70544 and 70560 and find the biggest common factor number .

Step-1: Prime Factorization of 70544

Prime factors of 70544 are 2, 4409. Prime factorization of 70544 in exponential form is:

70544 = 2⁴ × 4409¹

Step-2: Prime Factorization of 70560

Prime factors of 70560 are 2, 3, 5, 7. Prime factorization of 70560 in exponential form is:

70560 = 2⁵ × 3² × 5¹ × 7²

Step-3: Factors of 70544

List of positive integer factors of 70544 that divides 70544 without a remainder.

1, 2, 4, 8, 16, 4409, 8818, 17636, 35272

Step-4: Factors of 70560

List of positive integer factors of 70560 that divides 70544 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 49, 56, 60, 63, 70, 72, 80, 84, 90, 96, 98, 105, 112, 120, 126, 140, 144, 147, 160, 168, 180, 196, 210, 224, 240, 245, 252, 280, 288, 294, 315, 336, 360, 392, 420, 441, 480, 490, 504, 560, 588, 630, 672, 720, 735, 784, 840, 882, 980, 1008, 1120, 1176, 1260, 1440, 1470, 1568, 1680, 1764, 1960, 2016, 2205, 2352, 2520, 2940, 3360, 3528, 3920, 4410, 4704, 5040, 5880, 7056, 7840, 8820, 10080, 11760, 14112, 17640, 23520, 35280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70544 and 70560. The biggest common factor number is the GCF number.
So the greatest common factor 70544 and 70560 is 16.

Also check out the Least Common Multiple of 70544 and 70560