What is the Greatest Common Factor of 46014 and 46025?

Greatest common factor (GCF) of 46014 and 46025 is 1.

GCF(46014,46025) = 1

We will now calculate the prime factors of 46014 and 46025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46014 and 46025.

How to find the GCF of 46014 and 46025?

We will first find the prime factorization of 46014 and 46025. After we will calculate the factors of 46014 and 46025 and find the biggest common factor number .

Step-1: Prime Factorization of 46014

Prime factors of 46014 are 2, 3, 7669. Prime factorization of 46014 in exponential form is:

46014 = 2¹ × 3¹ × 7669¹

Step-2: Prime Factorization of 46025

Prime factors of 46025 are 5, 7, 263. Prime factorization of 46025 in exponential form is:

46025 = 5² × 7¹ × 263¹

Step-3: Factors of 46014

List of positive integer factors of 46014 that divides 46014 without a remainder.

1, 2, 3, 6, 7669, 15338, 23007

Step-4: Factors of 46025

List of positive integer factors of 46025 that divides 46014 without a remainder.

1, 5, 7, 25, 35, 175, 263, 1315, 1841, 6575, 9205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46014 and 46025. The biggest common factor number is the GCF number.
So the greatest common factor 46014 and 46025 is 1.

Also check out the Least Common Multiple of 46014 and 46025