What is the Greatest Common Factor of 35460 and 35474?

Greatest common factor (GCF) of 35460 and 35474 is 2.

GCF(35460,35474) = 2

We will now calculate the prime factors of 35460 and 35474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35460 and 35474.

How to find the GCF of 35460 and 35474?

We will first find the prime factorization of 35460 and 35474. After we will calculate the factors of 35460 and 35474 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 35474

Prime factors of 35474 are 2, 17737. Prime factorization of 35474 in exponential form is:

35474 = 2¹ × 17737¹

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 35474

List of positive integer factors of 35474 that divides 35460 without a remainder.

1, 2, 17737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35460 and 35474. The biggest common factor number is the GCF number.
So the greatest common factor 35460 and 35474 is 2.

Also check out the Least Common Multiple of 35460 and 35474