What is the Greatest Common Factor of 46625 and 46640?

Greatest common factor (GCF) of 46625 and 46640 is 5.

GCF(46625,46640) = 5

We will now calculate the prime factors of 46625 and 46640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46625 and 46640.

How to find the GCF of 46625 and 46640?

We will first find the prime factorization of 46625 and 46640. After we will calculate the factors of 46625 and 46640 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 46640

Prime factors of 46640 are 2, 5, 11, 53. Prime factorization of 46640 in exponential form is:

46640 = 2⁴ × 5¹ × 11¹ × 53¹

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 46640

List of positive integer factors of 46640 that divides 46625 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 53, 55, 80, 88, 106, 110, 176, 212, 220, 265, 424, 440, 530, 583, 848, 880, 1060, 1166, 2120, 2332, 2915, 4240, 4664, 5830, 9328, 11660, 23320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46625 and 46640. The biggest common factor number is the GCF number.
So the greatest common factor 46625 and 46640 is 5.

Also check out the Least Common Multiple of 46625 and 46640