What is the Greatest Common Factor of 63745 and 63757?

Greatest common factor (GCF) of 63745 and 63757 is 1.

GCF(63745,63757) = 1

We will now calculate the prime factors of 63745 and 63757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63745 and 63757.

How to find the GCF of 63745 and 63757?

We will first find the prime factorization of 63745 and 63757. After we will calculate the factors of 63745 and 63757 and find the biggest common factor number .

Step-1: Prime Factorization of 63745

Prime factors of 63745 are 5, 11, 19, 61. Prime factorization of 63745 in exponential form is:

63745 = 5¹ × 11¹ × 19¹ × 61¹

Step-2: Prime Factorization of 63757

Prime factors of 63757 are 103, 619. Prime factorization of 63757 in exponential form is:

63757 = 103¹ × 619¹

Step-3: Factors of 63745

List of positive integer factors of 63745 that divides 63745 without a remainder.

1, 5, 11, 19, 55, 61, 95, 209, 305, 671, 1045, 1159, 3355, 5795, 12749

Step-4: Factors of 63757

List of positive integer factors of 63757 that divides 63745 without a remainder.

1, 103, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63745 and 63757. The biggest common factor number is the GCF number.
So the greatest common factor 63745 and 63757 is 1.

Also check out the Least Common Multiple of 63745 and 63757