What is the Greatest Common Factor of 70560 and 70570?

Greatest common factor (GCF) of 70560 and 70570 is 10.

GCF(70560,70570) = 10

We will now calculate the prime factors of 70560 and 70570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70560 and 70570.

How to find the GCF of 70560 and 70570?

We will first find the prime factorization of 70560 and 70570. After we will calculate the factors of 70560 and 70570 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70570

Prime factors of 70570 are 2, 5, 7057. Prime factorization of 70570 in exponential form is:

70570 = 2¹ × 5¹ × 7057¹

Step-3: Factors of 70560

List of positive integer factors of 70560 that divides 70560 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

Step-4: Factors of 70570

List of positive integer factors of 70570 that divides 70560 without a remainder.

1, 2, 5, 10, 7057, 14114, 35285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70560 and 70570. The biggest common factor number is the GCF number.
So the greatest common factor 70560 and 70570 is 10.

Also check out the Least Common Multiple of 70560 and 70570