What is the Greatest Common Factor of 63788 and 63802?

Greatest common factor (GCF) of 63788 and 63802 is 2.

GCF(63788,63802) = 2

We will now calculate the prime factors of 63788 and 63802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63788 and 63802.

How to find the GCF of 63788 and 63802?

We will first find the prime factorization of 63788 and 63802. After we will calculate the factors of 63788 and 63802 and find the biggest common factor number .

Step-1: Prime Factorization of 63788

Prime factors of 63788 are 2, 37, 431. Prime factorization of 63788 in exponential form is:

63788 = 2² × 37¹ × 431¹

Step-2: 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-3: Factors of 63788

List of positive integer factors of 63788 that divides 63788 without a remainder.

1, 2, 4, 37, 74, 148, 431, 862, 1724, 15947, 31894

Step-4: Factors of 63802

List of positive integer factors of 63802 that divides 63788 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63788 and 63802. The biggest common factor number is the GCF number.
So the greatest common factor 63788 and 63802 is 2.

Also check out the Least Common Multiple of 63788 and 63802