What is the Greatest Common Factor of 57772 and 57787?

Greatest common factor (GCF) of 57772 and 57787 is 1.

GCF(57772,57787) = 1

We will now calculate the prime factors of 57772 and 57787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57772 and 57787.

How to find the GCF of 57772 and 57787?

We will first find the prime factorization of 57772 and 57787. After we will calculate the factors of 57772 and 57787 and find the biggest common factor number .

Step-1: Prime Factorization of 57772

Prime factors of 57772 are 2, 11, 13, 101. Prime factorization of 57772 in exponential form is:

57772 = 2² × 11¹ × 13¹ × 101¹

Step-2: Prime Factorization of 57787

Prime factors of 57787 are 57787. Prime factorization of 57787 in exponential form is:

57787 = 57787¹

Step-3: Factors of 57772

List of positive integer factors of 57772 that divides 57772 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 101, 143, 202, 286, 404, 572, 1111, 1313, 2222, 2626, 4444, 5252, 14443, 28886

Step-4: Factors of 57787

List of positive integer factors of 57787 that divides 57772 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57772 and 57787. The biggest common factor number is the GCF number.
So the greatest common factor 57772 and 57787 is 1.

Also check out the Least Common Multiple of 57772 and 57787