What is the Greatest Common Factor of 61628 and 61638?

Greatest common factor (GCF) of 61628 and 61638 is 2.

GCF(61628,61638) = 2

We will now calculate the prime factors of 61628 and 61638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61628 and 61638.

How to find the GCF of 61628 and 61638?

We will first find the prime factorization of 61628 and 61638. After we will calculate the factors of 61628 and 61638 and find the biggest common factor number .

Step-1: Prime Factorization of 61628

Prime factors of 61628 are 2, 7, 31, 71. Prime factorization of 61628 in exponential form is:

61628 = 2² × 7¹ × 31¹ × 71¹

Step-2: Prime Factorization of 61638

Prime factors of 61638 are 2, 3, 10273. Prime factorization of 61638 in exponential form is:

61638 = 2¹ × 3¹ × 10273¹

Step-3: Factors of 61628

List of positive integer factors of 61628 that divides 61628 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 71, 124, 142, 217, 284, 434, 497, 868, 994, 1988, 2201, 4402, 8804, 15407, 30814

Step-4: Factors of 61638

List of positive integer factors of 61638 that divides 61628 without a remainder.

1, 2, 3, 6, 10273, 20546, 30819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61628 and 61638. The biggest common factor number is the GCF number.
So the greatest common factor 61628 and 61638 is 2.

Also check out the Least Common Multiple of 61628 and 61638