What is the Greatest Common Factor of 46235 and 46254?

Greatest common factor (GCF) of 46235 and 46254 is 1.

GCF(46235,46254) = 1

We will now calculate the prime factors of 46235 and 46254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46235 and 46254.

How to find the GCF of 46235 and 46254?

We will first find the prime factorization of 46235 and 46254. After we will calculate the factors of 46235 and 46254 and find the biggest common factor number .

Step-1: Prime Factorization of 46235

Prime factors of 46235 are 5, 7, 1321. Prime factorization of 46235 in exponential form is:

46235 = 5¹ × 7¹ × 1321¹

Step-2: Prime Factorization of 46254

Prime factors of 46254 are 2, 3, 13, 593. Prime factorization of 46254 in exponential form is:

46254 = 2¹ × 3¹ × 13¹ × 593¹

Step-3: Factors of 46235

List of positive integer factors of 46235 that divides 46235 without a remainder.

1, 5, 7, 35, 1321, 6605, 9247

Step-4: Factors of 46254

List of positive integer factors of 46254 that divides 46235 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 593, 1186, 1779, 3558, 7709, 15418, 23127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46235 and 46254. The biggest common factor number is the GCF number.
So the greatest common factor 46235 and 46254 is 1.

Also check out the Least Common Multiple of 46235 and 46254