What is the Greatest Common Factor of 63705 and 63725?

Greatest common factor (GCF) of 63705 and 63725 is 5.

GCF(63705,63725) = 5

We will now calculate the prime factors of 63705 and 63725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63705 and 63725.

How to find the GCF of 63705 and 63725?

We will first find the prime factorization of 63705 and 63725. After we will calculate the factors of 63705 and 63725 and find the biggest common factor number .

Step-1: Prime Factorization of 63705

Prime factors of 63705 are 3, 5, 31, 137. Prime factorization of 63705 in exponential form is:

63705 = 3¹ × 5¹ × 31¹ × 137¹

Step-2: Prime Factorization of 63725

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

63725 = 5² × 2549¹

Step-3: Factors of 63705

List of positive integer factors of 63705 that divides 63705 without a remainder.

1, 3, 5, 15, 31, 93, 137, 155, 411, 465, 685, 2055, 4247, 12741, 21235

Step-4: Factors of 63725

List of positive integer factors of 63725 that divides 63705 without a remainder.

1, 5, 25, 2549, 12745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63705 and 63725. The biggest common factor number is the GCF number.
So the greatest common factor 63705 and 63725 is 5.

Also check out the Least Common Multiple of 63705 and 63725