What is the Greatest Common Factor of 63774 and 63791?

Greatest common factor (GCF) of 63774 and 63791 is 1.

GCF(63774,63791) = 1

We will now calculate the prime factors of 63774 and 63791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63774 and 63791.

How to find the GCF of 63774 and 63791?

We will first find the prime factorization of 63774 and 63791. After we will calculate the factors of 63774 and 63791 and find the biggest common factor number .

Step-1: Prime Factorization of 63774

Prime factors of 63774 are 2, 3, 1181. Prime factorization of 63774 in exponential form is:

63774 = 2¹ × 3³ × 1181¹

Step-2: Prime Factorization of 63791

Prime factors of 63791 are 7, 13, 701. Prime factorization of 63791 in exponential form is:

63791 = 7¹ × 13¹ × 701¹

Step-3: Factors of 63774

List of positive integer factors of 63774 that divides 63774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1181, 2362, 3543, 7086, 10629, 21258, 31887

Step-4: Factors of 63791

List of positive integer factors of 63791 that divides 63774 without a remainder.

1, 7, 13, 91, 701, 4907, 9113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63774 and 63791. The biggest common factor number is the GCF number.
So the greatest common factor 63774 and 63791 is 1.

Also check out the Least Common Multiple of 63774 and 63791