What is the Greatest Common Factor of 46249 and 46264?

Greatest common factor (GCF) of 46249 and 46264 is 1.

GCF(46249,46264) = 1

We will now calculate the prime factors of 46249 and 46264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46249 and 46264.

How to find the GCF of 46249 and 46264?

We will first find the prime factorization of 46249 and 46264. After we will calculate the factors of 46249 and 46264 and find the biggest common factor number .

Step-1: Prime Factorization of 46249

Prime factors of 46249 are 7, 6607. Prime factorization of 46249 in exponential form is:

46249 = 7¹ × 6607¹

Step-2: Prime Factorization of 46264

Prime factors of 46264 are 2, 5783. Prime factorization of 46264 in exponential form is:

46264 = 2³ × 5783¹

Step-3: Factors of 46249

List of positive integer factors of 46249 that divides 46249 without a remainder.

1, 7, 6607

Step-4: Factors of 46264

List of positive integer factors of 46264 that divides 46249 without a remainder.

1, 2, 4, 8, 5783, 11566, 23132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46249 and 46264. The biggest common factor number is the GCF number.
So the greatest common factor 46249 and 46264 is 1.

Also check out the Least Common Multiple of 46249 and 46264