What is the Greatest Common Factor of 46574 and 46585?

Greatest common factor (GCF) of 46574 and 46585 is 11.

GCF(46574,46585) = 11

We will now calculate the prime factors of 46574 and 46585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46574 and 46585.

How to find the GCF of 46574 and 46585?

We will first find the prime factorization of 46574 and 46585. After we will calculate the factors of 46574 and 46585 and find the biggest common factor number .

Step-1: Prime Factorization of 46574

Prime factors of 46574 are 2, 11, 29, 73. Prime factorization of 46574 in exponential form is:

46574 = 2¹ × 11¹ × 29¹ × 73¹

Step-2: Prime Factorization of 46585

Prime factors of 46585 are 5, 7, 11. Prime factorization of 46585 in exponential form is:

46585 = 5¹ × 7¹ × 11³

Step-3: Factors of 46574

List of positive integer factors of 46574 that divides 46574 without a remainder.

1, 2, 11, 22, 29, 58, 73, 146, 319, 638, 803, 1606, 2117, 4234, 23287

Step-4: Factors of 46585

List of positive integer factors of 46585 that divides 46574 without a remainder.

1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 1331, 4235, 6655, 9317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46574 and 46585. The biggest common factor number is the GCF number.
So the greatest common factor 46574 and 46585 is 11.

Also check out the Least Common Multiple of 46574 and 46585