What is the Greatest Common Factor of 35772 and 35776?

Greatest common factor (GCF) of 35772 and 35776 is 4.

GCF(35772,35776) = 4

We will now calculate the prime factors of 35772 and 35776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35772 and 35776.

How to find the GCF of 35772 and 35776?

We will first find the prime factorization of 35772 and 35776. After we will calculate the factors of 35772 and 35776 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 35776

Prime factors of 35776 are 2, 13, 43. Prime factorization of 35776 in exponential form is:

35776 = 2⁶ × 13¹ × 43¹

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 35776

List of positive integer factors of 35776 that divides 35772 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 43, 52, 64, 86, 104, 172, 208, 344, 416, 559, 688, 832, 1118, 1376, 2236, 2752, 4472, 8944, 17888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35772 and 35776. The biggest common factor number is the GCF number.
So the greatest common factor 35772 and 35776 is 4.

Also check out the Least Common Multiple of 35772 and 35776