What is the Greatest Common Factor of 35460 and 35472?

Greatest common factor (GCF) of 35460 and 35472 is 12.

GCF(35460,35472) = 12

We will now calculate the prime factors of 35460 and 35472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35460 and 35472.

How to find the GCF of 35460 and 35472?

We will first find the prime factorization of 35460 and 35472. After we will calculate the factors of 35460 and 35472 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 35472

Prime factors of 35472 are 2, 3, 739. Prime factorization of 35472 in exponential form is:

35472 = 2⁴ × 3¹ × 739¹

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 35472

List of positive integer factors of 35472 that divides 35460 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 739, 1478, 2217, 2956, 4434, 5912, 8868, 11824, 17736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35460 and 35472. The biggest common factor number is the GCF number.
So the greatest common factor 35460 and 35472 is 12.

Also check out the Least Common Multiple of 35460 and 35472