What is the Greatest Common Factor of 46561 and 46574?

Greatest common factor (GCF) of 46561 and 46574 is 1.

GCF(46561,46574) = 1

We will now calculate the prime factors of 46561 and 46574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46561 and 46574.

How to find the GCF of 46561 and 46574?

We will first find the prime factorization of 46561 and 46574. After we will calculate the factors of 46561 and 46574 and find the biggest common factor number .

Step-1: Prime Factorization of 46561

Prime factors of 46561 are 101, 461. Prime factorization of 46561 in exponential form is:

46561 = 101¹ × 461¹

Step-2: 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-3: Factors of 46561

List of positive integer factors of 46561 that divides 46561 without a remainder.

1, 101, 461

Step-4: Factors of 46574

List of positive integer factors of 46574 that divides 46561 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46561 and 46574. The biggest common factor number is the GCF number.
So the greatest common factor 46561 and 46574 is 1.

Also check out the Least Common Multiple of 46561 and 46574