What is the Greatest Common Factor of 63644 and 63652?

Greatest common factor (GCF) of 63644 and 63652 is 4.

GCF(63644,63652) = 4

We will now calculate the prime factors of 63644 and 63652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63644 and 63652.

How to find the GCF of 63644 and 63652?

We will first find the prime factorization of 63644 and 63652. After we will calculate the factors of 63644 and 63652 and find the biggest common factor number .

Step-1: Prime Factorization of 63644

Prime factors of 63644 are 2, 7, 2273. Prime factorization of 63644 in exponential form is:

63644 = 2² × 7¹ × 2273¹

Step-2: Prime Factorization of 63652

Prime factors of 63652 are 2, 15913. Prime factorization of 63652 in exponential form is:

63652 = 2² × 15913¹

Step-3: Factors of 63644

List of positive integer factors of 63644 that divides 63644 without a remainder.

1, 2, 4, 7, 14, 28, 2273, 4546, 9092, 15911, 31822

Step-4: Factors of 63652

List of positive integer factors of 63652 that divides 63644 without a remainder.

1, 2, 4, 15913, 31826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63644 and 63652. The biggest common factor number is the GCF number.
So the greatest common factor 63644 and 63652 is 4.

Also check out the Least Common Multiple of 63644 and 63652