What is the Greatest Common Factor of 70553 and 70560?

Greatest common factor (GCF) of 70553 and 70560 is 7.

GCF(70553,70560) = 7

We will now calculate the prime factors of 70553 and 70560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70553 and 70560.

How to find the GCF of 70553 and 70560?

We will first find the prime factorization of 70553 and 70560. After we will calculate the factors of 70553 and 70560 and find the biggest common factor number .

Step-1: Prime Factorization of 70553

Prime factors of 70553 are 7, 10079. Prime factorization of 70553 in exponential form is:

70553 = 7¹ × 10079¹

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 70553

List of positive integer factors of 70553 that divides 70553 without a remainder.

1, 7, 10079

Step-4: Factors of 70560

List of positive integer factors of 70560 that divides 70553 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 70553 and 70560. The biggest common factor number is the GCF number.
So the greatest common factor 70553 and 70560 is 7.

Also check out the Least Common Multiple of 70553 and 70560