What is the Greatest Common Factor of 61427 and 61446?

Greatest common factor (GCF) of 61427 and 61446 is 19.

GCF(61427,61446) = 19

We will now calculate the prime factors of 61427 and 61446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61427 and 61446.

How to find the GCF of 61427 and 61446?

We will first find the prime factorization of 61427 and 61446. After we will calculate the factors of 61427 and 61446 and find the biggest common factor number .

Step-1: Prime Factorization of 61427

Prime factors of 61427 are 19, 53, 61. Prime factorization of 61427 in exponential form is:

61427 = 19¹ × 53¹ × 61¹

Step-2: Prime Factorization of 61446

Prime factors of 61446 are 2, 3, 7, 11, 19. Prime factorization of 61446 in exponential form is:

61446 = 2¹ × 3¹ × 7² × 11¹ × 19¹

Step-3: Factors of 61427

List of positive integer factors of 61427 that divides 61427 without a remainder.

1, 19, 53, 61, 1007, 1159, 3233

Step-4: Factors of 61446

List of positive integer factors of 61446 that divides 61427 without a remainder.

1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 49, 57, 66, 77, 98, 114, 133, 147, 154, 209, 231, 266, 294, 399, 418, 462, 539, 627, 798, 931, 1078, 1254, 1463, 1617, 1862, 2793, 2926, 3234, 4389, 5586, 8778, 10241, 20482, 30723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61427 and 61446. The biggest common factor number is the GCF number.
So the greatest common factor 61427 and 61446 is 19.

Also check out the Least Common Multiple of 61427 and 61446