What is the Greatest Common Factor of 47763 and 47767?

Greatest common factor (GCF) of 47763 and 47767 is 1.

GCF(47763,47767) = 1

We will now calculate the prime factors of 47763 and 47767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47763 and 47767.

How to find the GCF of 47763 and 47767?

We will first find the prime factorization of 47763 and 47767. After we will calculate the factors of 47763 and 47767 and find the biggest common factor number .

Step-1: Prime Factorization of 47763

Prime factors of 47763 are 3, 29, 61. Prime factorization of 47763 in exponential form is:

47763 = 3³ × 29¹ × 61¹

Step-2: Prime Factorization of 47767

Prime factors of 47767 are 37, 1291. Prime factorization of 47767 in exponential form is:

47767 = 37¹ × 1291¹

Step-3: Factors of 47763

List of positive integer factors of 47763 that divides 47763 without a remainder.

1, 3, 9, 27, 29, 61, 87, 183, 261, 549, 783, 1647, 1769, 5307, 15921

Step-4: Factors of 47767

List of positive integer factors of 47767 that divides 47763 without a remainder.

1, 37, 1291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47763 and 47767. The biggest common factor number is the GCF number.
So the greatest common factor 47763 and 47767 is 1.

Also check out the Least Common Multiple of 47763 and 47767