What is the Greatest Common Factor of 35460 and 35470?

Greatest common factor (GCF) of 35460 and 35470 is 10.

GCF(35460,35470) = 10

We will now calculate the prime factors of 35460 and 35470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35460 and 35470.

How to find the GCF of 35460 and 35470?

We will first find the prime factorization of 35460 and 35470. After we will calculate the factors of 35460 and 35470 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 35470

Prime factors of 35470 are 2, 5, 3547. Prime factorization of 35470 in exponential form is:

35470 = 2¹ × 5¹ × 3547¹

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 35470

List of positive integer factors of 35470 that divides 35460 without a remainder.

1, 2, 5, 10, 3547, 7094, 17735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35460 and 35470. The biggest common factor number is the GCF number.
So the greatest common factor 35460 and 35470 is 10.

Also check out the Least Common Multiple of 35460 and 35470