What is the Greatest Common Factor of 63802 and 63808?

Greatest common factor (GCF) of 63802 and 63808 is 2.

GCF(63802,63808) = 2

We will now calculate the prime factors of 63802 and 63808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63802 and 63808.

How to find the GCF of 63802 and 63808?

We will first find the prime factorization of 63802 and 63808. After we will calculate the factors of 63802 and 63808 and find the biggest common factor number .

Step-1: Prime Factorization of 63802

Prime factors of 63802 are 2, 19, 23, 73. Prime factorization of 63802 in exponential form is:

63802 = 2¹ × 19¹ × 23¹ × 73¹

Step-2: Prime Factorization of 63808

Prime factors of 63808 are 2, 997. Prime factorization of 63808 in exponential form is:

63808 = 2⁶ × 997¹

Step-3: Factors of 63802

List of positive integer factors of 63802 that divides 63802 without a remainder.

1, 2, 19, 23, 38, 46, 73, 146, 437, 874, 1387, 1679, 2774, 3358, 31901

Step-4: Factors of 63808

List of positive integer factors of 63808 that divides 63802 without a remainder.

1, 2, 4, 8, 16, 32, 64, 997, 1994, 3988, 7976, 15952, 31904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63802 and 63808. The biggest common factor number is the GCF number.
So the greatest common factor 63802 and 63808 is 2.

Also check out the Least Common Multiple of 63802 and 63808