What is the Greatest Common Factor of 35460 and 35478?

Greatest common factor (GCF) of 35460 and 35478 is 18.

GCF(35460,35478) = 18

We will now calculate the prime factors of 35460 and 35478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35460 and 35478.

How to find the GCF of 35460 and 35478?

We will first find the prime factorization of 35460 and 35478. After we will calculate the factors of 35460 and 35478 and find the biggest common factor number .

Step-1: Prime Factorization of 35460

Prime factors of 35460 are 2, 3, 5, 197. Prime factorization of 35460 in exponential form is:

35460 = 2² × 3² × 5¹ × 197¹

Step-2: Prime Factorization of 35478

Prime factors of 35478 are 2, 3, 73. Prime factorization of 35478 in exponential form is:

35478 = 2¹ × 3⁵ × 73¹

Step-3: Factors of 35460

List of positive integer factors of 35460 that divides 35460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 197, 394, 591, 788, 985, 1182, 1773, 1970, 2364, 2955, 3546, 3940, 5910, 7092, 8865, 11820, 17730

Step-4: Factors of 35478

List of positive integer factors of 35478 that divides 35460 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 81, 146, 162, 219, 243, 438, 486, 657, 1314, 1971, 3942, 5913, 11826, 17739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35460 and 35478. The biggest common factor number is the GCF number.
So the greatest common factor 35460 and 35478 is 18.

Also check out the Least Common Multiple of 35460 and 35478