What is the Greatest Common Factor of 61435 and 61446?

Greatest common factor (GCF) of 61435 and 61446 is 11.

GCF(61435,61446) = 11

We will now calculate the prime factors of 61435 and 61446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61435 and 61446.

How to find the GCF of 61435 and 61446?

We will first find the prime factorization of 61435 and 61446. After we will calculate the factors of 61435 and 61446 and find the biggest common factor number .

Step-1: Prime Factorization of 61435

Prime factors of 61435 are 5, 11, 1117. Prime factorization of 61435 in exponential form is:

61435 = 5¹ × 11¹ × 1117¹

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 61435

List of positive integer factors of 61435 that divides 61435 without a remainder.

1, 5, 11, 55, 1117, 5585, 12287

Step-4: Factors of 61446

List of positive integer factors of 61446 that divides 61435 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 61435 and 61446. The biggest common factor number is the GCF number.
So the greatest common factor 61435 and 61446 is 11.

Also check out the Least Common Multiple of 61435 and 61446