What is the Greatest Common Factor of 35752 and 35772?

Greatest common factor (GCF) of 35752 and 35772 is 4.

GCF(35752,35772) = 4

We will now calculate the prime factors of 35752 and 35772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35752 and 35772.

How to find the GCF of 35752 and 35772?

We will first find the prime factorization of 35752 and 35772. After we will calculate the factors of 35752 and 35772 and find the biggest common factor number .

Step-1: Prime Factorization of 35752

Prime factors of 35752 are 2, 41, 109. Prime factorization of 35752 in exponential form is:

35752 = 2³ × 41¹ × 109¹

Step-2: Prime Factorization of 35772

Prime factors of 35772 are 2, 3, 11, 271. Prime factorization of 35772 in exponential form is:

35772 = 2² × 3¹ × 11¹ × 271¹

Step-3: Factors of 35752

List of positive integer factors of 35752 that divides 35752 without a remainder.

1, 2, 4, 8, 41, 82, 109, 164, 218, 328, 436, 872, 4469, 8938, 17876

Step-4: Factors of 35772

List of positive integer factors of 35772 that divides 35752 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 271, 542, 813, 1084, 1626, 2981, 3252, 5962, 8943, 11924, 17886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35752 and 35772. The biggest common factor number is the GCF number.
So the greatest common factor 35752 and 35772 is 4.

Also check out the Least Common Multiple of 35752 and 35772