What is the Greatest Common Factor of 35312 and 35332?

Greatest common factor (GCF) of 35312 and 35332 is 4.

GCF(35312,35332) = 4

We will now calculate the prime factors of 35312 and 35332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35312 and 35332.

How to find the GCF of 35312 and 35332?

We will first find the prime factorization of 35312 and 35332. After we will calculate the factors of 35312 and 35332 and find the biggest common factor number .

Step-1: Prime Factorization of 35312

Prime factors of 35312 are 2, 2207. Prime factorization of 35312 in exponential form is:

35312 = 2⁴ × 2207¹

Step-2: Prime Factorization of 35332

Prime factors of 35332 are 2, 11, 73. Prime factorization of 35332 in exponential form is:

35332 = 2² × 11² × 73¹

Step-3: Factors of 35312

List of positive integer factors of 35312 that divides 35312 without a remainder.

1, 2, 4, 8, 16, 2207, 4414, 8828, 17656

Step-4: Factors of 35332

List of positive integer factors of 35332 that divides 35312 without a remainder.

1, 2, 4, 11, 22, 44, 73, 121, 146, 242, 292, 484, 803, 1606, 3212, 8833, 17666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35312 and 35332. The biggest common factor number is the GCF number.
So the greatest common factor 35312 and 35332 is 4.

Also check out the Least Common Multiple of 35312 and 35332