What is the Greatest Common Factor of 35280 and 35290?

Greatest common factor (GCF) of 35280 and 35290 is 10.

GCF(35280,35290) = 10

We will now calculate the prime factors of 35280 and 35290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35280 and 35290.

How to find the GCF of 35280 and 35290?

We will first find the prime factorization of 35280 and 35290. After we will calculate the factors of 35280 and 35290 and find the biggest common factor number .

Step-1: Prime Factorization of 35280

Prime factors of 35280 are 2, 3, 5, 7. Prime factorization of 35280 in exponential form is:

35280 = 2⁴ × 3² × 5¹ × 7²

Step-2: Prime Factorization of 35290

Prime factors of 35290 are 2, 5, 3529. Prime factorization of 35290 in exponential form is:

35290 = 2¹ × 5¹ × 3529¹

Step-3: Factors of 35280

List of positive integer factors of 35280 that divides 35280 without a remainder.

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

Step-4: Factors of 35290

List of positive integer factors of 35290 that divides 35280 without a remainder.

1, 2, 5, 10, 3529, 7058, 17645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35280 and 35290. The biggest common factor number is the GCF number.
So the greatest common factor 35280 and 35290 is 10.

Also check out the Least Common Multiple of 35280 and 35290