What is the Greatest Common Factor of 46625 and 46630?

Greatest common factor (GCF) of 46625 and 46630 is 5.

GCF(46625,46630) = 5

We will now calculate the prime factors of 46625 and 46630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46625 and 46630.

How to find the GCF of 46625 and 46630?

We will first find the prime factorization of 46625 and 46630. After we will calculate the factors of 46625 and 46630 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 46630

Prime factors of 46630 are 2, 5, 4663. Prime factorization of 46630 in exponential form is:

46630 = 2¹ × 5¹ × 4663¹

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 46630

List of positive integer factors of 46630 that divides 46625 without a remainder.

1, 2, 5, 10, 4663, 9326, 23315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46625 and 46630. The biggest common factor number is the GCF number.
So the greatest common factor 46625 and 46630 is 5.

Also check out the Least Common Multiple of 46625 and 46630