What is the Greatest Common Factor of 70546 and 70560?

Greatest common factor (GCF) of 70546 and 70560 is 14.

GCF(70546,70560) = 14

We will now calculate the prime factors of 70546 and 70560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70546 and 70560.

How to find the GCF of 70546 and 70560?

We will first find the prime factorization of 70546 and 70560. After we will calculate the factors of 70546 and 70560 and find the biggest common factor number .

Step-1: Prime Factorization of 70546

Prime factors of 70546 are 2, 7, 5039. Prime factorization of 70546 in exponential form is:

70546 = 2¹ × 7¹ × 5039¹

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 70546

List of positive integer factors of 70546 that divides 70546 without a remainder.

1, 2, 7, 14, 5039, 10078, 35273

Step-4: Factors of 70560

List of positive integer factors of 70560 that divides 70546 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 70546 and 70560. The biggest common factor number is the GCF number.
So the greatest common factor 70546 and 70560 is 14.

Also check out the Least Common Multiple of 70546 and 70560