What is the Greatest Common Factor of 46625 and 46631?

Greatest common factor (GCF) of 46625 and 46631 is 1.

GCF(46625,46631) = 1

We will now calculate the prime factors of 46625 and 46631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46625 and 46631.

How to find the GCF of 46625 and 46631?

We will first find the prime factorization of 46625 and 46631. After we will calculate the factors of 46625 and 46631 and find the biggest common factor number .

Step-1: Prime Factorization of 46625

Prime factors of 46625 are 5, 373. Prime factorization of 46625 in exponential form is:

46625 = 5³ × 373¹

Step-2: Prime Factorization of 46631

Prime factors of 46631 are 13, 17, 211. Prime factorization of 46631 in exponential form is:

46631 = 13¹ × 17¹ × 211¹

Step-3: Factors of 46625

List of positive integer factors of 46625 that divides 46625 without a remainder.

1, 5, 25, 125, 373, 1865, 9325

Step-4: Factors of 46631

List of positive integer factors of 46631 that divides 46625 without a remainder.

1, 13, 17, 211, 221, 2743, 3587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46625 and 46631. The biggest common factor number is the GCF number.
So the greatest common factor 46625 and 46631 is 1.

Also check out the Least Common Multiple of 46625 and 46631