What is the Greatest Common Factor of 70542 and 70560?

Greatest common factor (GCF) of 70542 and 70560 is 18.

GCF(70542,70560) = 18

We will now calculate the prime factors of 70542 and 70560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70542 and 70560.

How to find the GCF of 70542 and 70560?

We will first find the prime factorization of 70542 and 70560. After we will calculate the factors of 70542 and 70560 and find the biggest common factor number .

Step-1: Prime Factorization of 70542

Prime factors of 70542 are 2, 3, 3919. Prime factorization of 70542 in exponential form is:

70542 = 2¹ × 3² × 3919¹

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 70542

List of positive integer factors of 70542 that divides 70542 without a remainder.

1, 2, 3, 6, 9, 18, 3919, 7838, 11757, 23514, 35271

Step-4: Factors of 70560

List of positive integer factors of 70560 that divides 70542 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 70542 and 70560. The biggest common factor number is the GCF number.
So the greatest common factor 70542 and 70560 is 18.

Also check out the Least Common Multiple of 70542 and 70560