What is the Greatest Common Factor of 46775 and 46780?

Greatest common factor (GCF) of 46775 and 46780 is 5.

GCF(46775,46780) = 5

We will now calculate the prime factors of 46775 and 46780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46775 and 46780.

How to find the GCF of 46775 and 46780?

We will first find the prime factorization of 46775 and 46780. After we will calculate the factors of 46775 and 46780 and find the biggest common factor number .

Step-1: Prime Factorization of 46775

Prime factors of 46775 are 5, 1871. Prime factorization of 46775 in exponential form is:

46775 = 5² × 1871¹

Step-2: Prime Factorization of 46780

Prime factors of 46780 are 2, 5, 2339. Prime factorization of 46780 in exponential form is:

46780 = 2² × 5¹ × 2339¹

Step-3: Factors of 46775

List of positive integer factors of 46775 that divides 46775 without a remainder.

1, 5, 25, 1871, 9355

Step-4: Factors of 46780

List of positive integer factors of 46780 that divides 46775 without a remainder.

1, 2, 4, 5, 10, 20, 2339, 4678, 9356, 11695, 23390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46775 and 46780. The biggest common factor number is the GCF number.
So the greatest common factor 46775 and 46780 is 5.

Also check out the Least Common Multiple of 46775 and 46780