What is the Greatest Common Factor of 63693 and 63700?

Greatest common factor (GCF) of 63693 and 63700 is 7.

GCF(63693,63700) = 7

We will now calculate the prime factors of 63693 and 63700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63693 and 63700.

How to find the GCF of 63693 and 63700?

We will first find the prime factorization of 63693 and 63700. After we will calculate the factors of 63693 and 63700 and find the biggest common factor number .

Step-1: Prime Factorization of 63693

Prime factors of 63693 are 3, 7, 337. Prime factorization of 63693 in exponential form is:

63693 = 3³ × 7¹ × 337¹

Step-2: 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-3: Factors of 63693

List of positive integer factors of 63693 that divides 63693 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 337, 1011, 2359, 3033, 7077, 9099, 21231

Step-4: Factors of 63700

List of positive integer factors of 63700 that divides 63693 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63693 and 63700. The biggest common factor number is the GCF number.
So the greatest common factor 63693 and 63700 is 7.

Also check out the Least Common Multiple of 63693 and 63700