What is the Greatest Common Factor of 63700 and 63705?

Greatest common factor (GCF) of 63700 and 63705 is 5.

GCF(63700,63705) = 5

We will now calculate the prime factors of 63700 and 63705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63700 and 63705.

How to find the GCF of 63700 and 63705?

We will first find the prime factorization of 63700 and 63705. After we will calculate the factors of 63700 and 63705 and find the biggest common factor number .

Step-1: Prime Factorization of 63700

Prime factors of 63700 are 2, 5, 7, 13. Prime factorization of 63700 in exponential form is:

63700 = 2² × 5² × 7² × 13¹

Step-2: 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-3: Factors of 63700

List of positive integer factors of 63700 that divides 63700 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 49, 50, 52, 65, 70, 91, 98, 100, 130, 140, 175, 182, 196, 245, 260, 325, 350, 364, 455, 490, 637, 650, 700, 910, 980, 1225, 1274, 1300, 1820, 2275, 2450, 2548, 3185, 4550, 4900, 6370, 9100, 12740, 15925, 31850

Step-4: Factors of 63705

List of positive integer factors of 63705 that divides 63700 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63700 and 63705. The biggest common factor number is the GCF number.
So the greatest common factor 63700 and 63705 is 5.

Also check out the Least Common Multiple of 63700 and 63705