What is the Greatest Common Factor of 35772 and 35781?

Greatest common factor (GCF) of 35772 and 35781 is 3.

GCF(35772,35781) = 3

We will now calculate the prime factors of 35772 and 35781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35772 and 35781.

How to find the GCF of 35772 and 35781?

We will first find the prime factorization of 35772 and 35781. After we will calculate the factors of 35772 and 35781 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35781

Prime factors of 35781 are 3, 11927. Prime factorization of 35781 in exponential form is:

35781 = 3¹ × 11927¹

Step-3: Factors of 35772

List of positive integer factors of 35772 that divides 35772 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

Step-4: Factors of 35781

List of positive integer factors of 35781 that divides 35772 without a remainder.

1, 3, 11927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35772 and 35781. The biggest common factor number is the GCF number.
So the greatest common factor 35772 and 35781 is 3.

Also check out the Least Common Multiple of 35772 and 35781