What is the Greatest Common Factor of 63816 and 63826?

Greatest common factor (GCF) of 63816 and 63826 is 2.

GCF(63816,63826) = 2

We will now calculate the prime factors of 63816 and 63826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63816 and 63826.

How to find the GCF of 63816 and 63826?

We will first find the prime factorization of 63816 and 63826. After we will calculate the factors of 63816 and 63826 and find the biggest common factor number .

Step-1: Prime Factorization of 63816

Prime factors of 63816 are 2, 3, 2659. Prime factorization of 63816 in exponential form is:

63816 = 2³ × 3¹ × 2659¹

Step-2: Prime Factorization of 63826

Prime factors of 63826 are 2, 7, 47, 97. Prime factorization of 63826 in exponential form is:

63826 = 2¹ × 7¹ × 47¹ × 97¹

Step-3: Factors of 63816

List of positive integer factors of 63816 that divides 63816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2659, 5318, 7977, 10636, 15954, 21272, 31908

Step-4: Factors of 63826

List of positive integer factors of 63826 that divides 63816 without a remainder.

1, 2, 7, 14, 47, 94, 97, 194, 329, 658, 679, 1358, 4559, 9118, 31913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63816 and 63826. The biggest common factor number is the GCF number.
So the greatest common factor 63816 and 63826 is 2.

Also check out the Least Common Multiple of 63816 and 63826