What is the Greatest Common Factor of 61634 and 61644?

Greatest common factor (GCF) of 61634 and 61644 is 2.

GCF(61634,61644) = 2

We will now calculate the prime factors of 61634 and 61644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61634 and 61644.

How to find the GCF of 61634 and 61644?

We will first find the prime factorization of 61634 and 61644. After we will calculate the factors of 61634 and 61644 and find the biggest common factor number .

Step-1: Prime Factorization of 61634

Prime factors of 61634 are 2, 30817. Prime factorization of 61634 in exponential form is:

61634 = 2¹ × 30817¹

Step-2: Prime Factorization of 61644

Prime factors of 61644 are 2, 3, 11, 467. Prime factorization of 61644 in exponential form is:

61644 = 2² × 3¹ × 11¹ × 467¹

Step-3: Factors of 61634

List of positive integer factors of 61634 that divides 61634 without a remainder.

1, 2, 30817

Step-4: Factors of 61644

List of positive integer factors of 61644 that divides 61634 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 467, 934, 1401, 1868, 2802, 5137, 5604, 10274, 15411, 20548, 30822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61634 and 61644. The biggest common factor number is the GCF number.
So the greatest common factor 61634 and 61644 is 2.

Also check out the Least Common Multiple of 61634 and 61644