What is the Greatest Common Factor of 63688 and 63708?

Greatest common factor (GCF) of 63688 and 63708 is 4.

GCF(63688,63708) = 4

We will now calculate the prime factors of 63688 and 63708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63688 and 63708.

How to find the GCF of 63688 and 63708?

We will first find the prime factorization of 63688 and 63708. After we will calculate the factors of 63688 and 63708 and find the biggest common factor number .

Step-1: Prime Factorization of 63688

Prime factors of 63688 are 2, 19, 419. Prime factorization of 63688 in exponential form is:

63688 = 2³ × 19¹ × 419¹

Step-2: Prime Factorization of 63708

Prime factors of 63708 are 2, 3, 5309. Prime factorization of 63708 in exponential form is:

63708 = 2² × 3¹ × 5309¹

Step-3: Factors of 63688

List of positive integer factors of 63688 that divides 63688 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 419, 838, 1676, 3352, 7961, 15922, 31844

Step-4: Factors of 63708

List of positive integer factors of 63708 that divides 63688 without a remainder.

1, 2, 3, 4, 6, 12, 5309, 10618, 15927, 21236, 31854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63688 and 63708. The biggest common factor number is the GCF number.
So the greatest common factor 63688 and 63708 is 4.

Also check out the Least Common Multiple of 63688 and 63708