What is the Greatest Common Factor of 63614 and 63628?

Greatest common factor (GCF) of 63614 and 63628 is 2.

GCF(63614,63628) = 2

We will now calculate the prime factors of 63614 and 63628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63614 and 63628.

How to find the GCF of 63614 and 63628?

We will first find the prime factorization of 63614 and 63628. After we will calculate the factors of 63614 and 63628 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 63628

Prime factors of 63628 are 2, 15907. Prime factorization of 63628 in exponential form is:

63628 = 2² × 15907¹

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 63628

List of positive integer factors of 63628 that divides 63614 without a remainder.

1, 2, 4, 15907, 31814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63614 and 63628. The biggest common factor number is the GCF number.
So the greatest common factor 63614 and 63628 is 2.

Also check out the Least Common Multiple of 63614 and 63628