What is the Greatest Common Factor of 61633 and 61644?

Greatest common factor (GCF) of 61633 and 61644 is 11.

GCF(61633,61644) = 11

We will now calculate the prime factors of 61633 and 61644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61633 and 61644.

How to find the GCF of 61633 and 61644?

We will first find the prime factorization of 61633 and 61644. After we will calculate the factors of 61633 and 61644 and find the biggest common factor number .

Step-1: Prime Factorization of 61633

Prime factors of 61633 are 11, 13, 431. Prime factorization of 61633 in exponential form is:

61633 = 11¹ × 13¹ × 431¹

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 61633

List of positive integer factors of 61633 that divides 61633 without a remainder.

1, 11, 13, 143, 431, 4741, 5603

Step-4: Factors of 61644

List of positive integer factors of 61644 that divides 61633 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 61633 and 61644. The biggest common factor number is the GCF number.
So the greatest common factor 61633 and 61644 is 11.

Also check out the Least Common Multiple of 61633 and 61644