What is the Greatest Common Factor of 61110 and 61124?

Greatest common factor (GCF) of 61110 and 61124 is 14.

GCF(61110,61124) = 14

We will now calculate the prime factors of 61110 and 61124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61110 and 61124.

How to find the GCF of 61110 and 61124?

We will first find the prime factorization of 61110 and 61124. After we will calculate the factors of 61110 and 61124 and find the biggest common factor number .

Step-1: Prime Factorization of 61110

Prime factors of 61110 are 2, 3, 5, 7, 97. Prime factorization of 61110 in exponential form is:

61110 = 2¹ × 3² × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 61124

Prime factors of 61124 are 2, 7, 37, 59. Prime factorization of 61124 in exponential form is:

61124 = 2² × 7¹ × 37¹ × 59¹

Step-3: Factors of 61110

List of positive integer factors of 61110 that divides 61110 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 97, 105, 126, 194, 210, 291, 315, 485, 582, 630, 679, 873, 970, 1358, 1455, 1746, 2037, 2910, 3395, 4074, 4365, 6111, 6790, 8730, 10185, 12222, 20370, 30555

Step-4: Factors of 61124

List of positive integer factors of 61124 that divides 61110 without a remainder.

1, 2, 4, 7, 14, 28, 37, 59, 74, 118, 148, 236, 259, 413, 518, 826, 1036, 1652, 2183, 4366, 8732, 15281, 30562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61110 and 61124. The biggest common factor number is the GCF number.
So the greatest common factor 61110 and 61124 is 14.

Also check out the Least Common Multiple of 61110 and 61124