What is the Greatest Common Factor of 61446 and 61460?

Greatest common factor (GCF) of 61446 and 61460 is 14.

GCF(61446,61460) = 14

We will now calculate the prime factors of 61446 and 61460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61446 and 61460.

How to find the GCF of 61446 and 61460?

We will first find the prime factorization of 61446 and 61460. After we will calculate the factors of 61446 and 61460 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61460

Prime factors of 61460 are 2, 5, 7, 439. Prime factorization of 61460 in exponential form is:

61460 = 2² × 5¹ × 7¹ × 439¹

Step-3: Factors of 61446

List of positive integer factors of 61446 that divides 61446 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

Step-4: Factors of 61460

List of positive integer factors of 61460 that divides 61446 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 439, 878, 1756, 2195, 3073, 4390, 6146, 8780, 12292, 15365, 30730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61446 and 61460. The biggest common factor number is the GCF number.
So the greatest common factor 61446 and 61460 is 14.

Also check out the Least Common Multiple of 61446 and 61460