What is the Greatest Common Factor of 46749 and 46765?

Greatest common factor (GCF) of 46749 and 46765 is 1.

GCF(46749,46765) = 1

We will now calculate the prime factors of 46749 and 46765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46749 and 46765.

How to find the GCF of 46749 and 46765?

We will first find the prime factorization of 46749 and 46765. After we will calculate the factors of 46749 and 46765 and find the biggest common factor number .

Step-1: Prime Factorization of 46749

Prime factors of 46749 are 3, 15583. Prime factorization of 46749 in exponential form is:

46749 = 3¹ × 15583¹

Step-2: Prime Factorization of 46765

Prime factors of 46765 are 5, 47, 199. Prime factorization of 46765 in exponential form is:

46765 = 5¹ × 47¹ × 199¹

Step-3: Factors of 46749

List of positive integer factors of 46749 that divides 46749 without a remainder.

1, 3, 15583

Step-4: Factors of 46765

List of positive integer factors of 46765 that divides 46749 without a remainder.

1, 5, 47, 199, 235, 995, 9353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46749 and 46765. The biggest common factor number is the GCF number.
So the greatest common factor 46749 and 46765 is 1.

Also check out the Least Common Multiple of 46749 and 46765