What is the Greatest Common Factor of 63614 and 63632?

Greatest common factor (GCF) of 63614 and 63632 is 2.

GCF(63614,63632) = 2

We will now calculate the prime factors of 63614 and 63632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63614 and 63632.

How to find the GCF of 63614 and 63632?

We will first find the prime factorization of 63614 and 63632. After we will calculate the factors of 63614 and 63632 and find the biggest common factor number .

Step-1: Prime Factorization of 63614

Prime factors of 63614 are 2, 17, 1871. Prime factorization of 63614 in exponential form is:

63614 = 2¹ × 17¹ × 1871¹

Step-2: Prime Factorization of 63632

Prime factors of 63632 are 2, 41, 97. Prime factorization of 63632 in exponential form is:

63632 = 2⁴ × 41¹ × 97¹

Step-3: Factors of 63614

List of positive integer factors of 63614 that divides 63614 without a remainder.

1, 2, 17, 34, 1871, 3742, 31807

Step-4: Factors of 63632

List of positive integer factors of 63632 that divides 63614 without a remainder.

1, 2, 4, 8, 16, 41, 82, 97, 164, 194, 328, 388, 656, 776, 1552, 3977, 7954, 15908, 31816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63614 and 63632. The biggest common factor number is the GCF number.
So the greatest common factor 63614 and 63632 is 2.

Also check out the Least Common Multiple of 63614 and 63632