What is the Greatest Common Factor of 27752 and 27772?

Greatest common factor (GCF) of 27752 and 27772 is 4.

GCF(27752,27772) = 4

We will now calculate the prime factors of 27752 and 27772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27752 and 27772.

How to find the GCF of 27752 and 27772?

We will first find the prime factorization of 27752 and 27772. After we will calculate the factors of 27752 and 27772 and find the biggest common factor number .

Step-1: Prime Factorization of 27752

Prime factors of 27752 are 2, 3469. Prime factorization of 27752 in exponential form is:

27752 = 2³ × 3469¹

Step-2: Prime Factorization of 27772

Prime factors of 27772 are 2, 53, 131. Prime factorization of 27772 in exponential form is:

27772 = 2² × 53¹ × 131¹

Step-3: Factors of 27752

List of positive integer factors of 27752 that divides 27752 without a remainder.

1, 2, 4, 8, 3469, 6938, 13876

Step-4: Factors of 27772

List of positive integer factors of 27772 that divides 27752 without a remainder.

1, 2, 4, 53, 106, 131, 212, 262, 524, 6943, 13886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27752 and 27772. The biggest common factor number is the GCF number.
So the greatest common factor 27752 and 27772 is 4.

Also check out the Least Common Multiple of 27752 and 27772