What is the Greatest Common Factor of 63725 and 63745?

Greatest common factor (GCF) of 63725 and 63745 is 5.

GCF(63725,63745) = 5

We will now calculate the prime factors of 63725 and 63745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63725 and 63745.

How to find the GCF of 63725 and 63745?

We will first find the prime factorization of 63725 and 63745. After we will calculate the factors of 63725 and 63745 and find the biggest common factor number .

Step-1: Prime Factorization of 63725

Prime factors of 63725 are 5, 2549. Prime factorization of 63725 in exponential form is:

63725 = 5² × 2549¹

Step-2: 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-3: Factors of 63725

List of positive integer factors of 63725 that divides 63725 without a remainder.

1, 5, 25, 2549, 12745

Step-4: Factors of 63745

List of positive integer factors of 63745 that divides 63725 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63725 and 63745. The biggest common factor number is the GCF number.
So the greatest common factor 63725 and 63745 is 5.

Also check out the Least Common Multiple of 63725 and 63745