What is the Greatest Common Factor of 35761 and 35772?

Greatest common factor (GCF) of 35761 and 35772 is 11.

GCF(35761,35772) = 11

We will now calculate the prime factors of 35761 and 35772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35761 and 35772.

How to find the GCF of 35761 and 35772?

We will first find the prime factorization of 35761 and 35772. After we will calculate the factors of 35761 and 35772 and find the biggest common factor number .

Step-1: Prime Factorization of 35761

Prime factors of 35761 are 11, 3251. Prime factorization of 35761 in exponential form is:

35761 = 11¹ × 3251¹

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 35761

List of positive integer factors of 35761 that divides 35761 without a remainder.

1, 11, 3251

Step-4: Factors of 35772

List of positive integer factors of 35772 that divides 35761 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 35761 and 35772. The biggest common factor number is the GCF number.
So the greatest common factor 35761 and 35772 is 11.

Also check out the Least Common Multiple of 35761 and 35772