What is the Greatest Common Factor of 63763 and 63777?

Greatest common factor (GCF) of 63763 and 63777 is 7.

GCF(63763,63777) = 7

We will now calculate the prime factors of 63763 and 63777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63763 and 63777.

How to find the GCF of 63763 and 63777?

We will first find the prime factorization of 63763 and 63777. After we will calculate the factors of 63763 and 63777 and find the biggest common factor number .

Step-1: Prime Factorization of 63763

Prime factors of 63763 are 7, 9109. Prime factorization of 63763 in exponential form is:

63763 = 7¹ × 9109¹

Step-2: Prime Factorization of 63777

Prime factors of 63777 are 3, 7, 3037. Prime factorization of 63777 in exponential form is:

63777 = 3¹ × 7¹ × 3037¹

Step-3: Factors of 63763

List of positive integer factors of 63763 that divides 63763 without a remainder.

1, 7, 9109

Step-4: Factors of 63777

List of positive integer factors of 63777 that divides 63763 without a remainder.

1, 3, 7, 21, 3037, 9111, 21259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63763 and 63777. The biggest common factor number is the GCF number.
So the greatest common factor 63763 and 63777 is 7.

Also check out the Least Common Multiple of 63763 and 63777