What is the Greatest Common Factor of 84350 and 84360?

Greatest common factor (GCF) of 84350 and 84360 is 10.

GCF(84350,84360) = 10

We will now calculate the prime factors of 84350 and 84360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84350 and 84360.

How to find the GCF of 84350 and 84360?

We will first find the prime factorization of 84350 and 84360. After we will calculate the factors of 84350 and 84360 and find the biggest common factor number .

Step-1: Prime Factorization of 84350

Prime factors of 84350 are 2, 5, 7, 241. Prime factorization of 84350 in exponential form is:

84350 = 2¹ × 5² × 7¹ × 241¹

Step-2: Prime Factorization of 84360

Prime factors of 84360 are 2, 3, 5, 19, 37. Prime factorization of 84360 in exponential form is:

84360 = 2³ × 3¹ × 5¹ × 19¹ × 37¹

Step-3: Factors of 84350

List of positive integer factors of 84350 that divides 84350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 241, 350, 482, 1205, 1687, 2410, 3374, 6025, 8435, 12050, 16870, 42175

Step-4: Factors of 84360

List of positive integer factors of 84360 that divides 84350 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 37, 38, 40, 57, 60, 74, 76, 95, 111, 114, 120, 148, 152, 185, 190, 222, 228, 285, 296, 370, 380, 444, 456, 555, 570, 703, 740, 760, 888, 1110, 1140, 1406, 1480, 2109, 2220, 2280, 2812, 3515, 4218, 4440, 5624, 7030, 8436, 10545, 14060, 16872, 21090, 28120, 42180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84350 and 84360. The biggest common factor number is the GCF number.
So the greatest common factor 84350 and 84360 is 10.

Also check out the Least Common Multiple of 84350 and 84360