What is the Greatest Common Factor of 46759 and 46766?

Greatest common factor (GCF) of 46759 and 46766 is 1.

GCF(46759,46766) = 1

We will now calculate the prime factors of 46759 and 46766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46759 and 46766.

How to find the GCF of 46759 and 46766?

We will first find the prime factorization of 46759 and 46766. After we will calculate the factors of 46759 and 46766 and find the biggest common factor number .

Step-1: Prime Factorization of 46759

Prime factors of 46759 are 19, 23, 107. Prime factorization of 46759 in exponential form is:

46759 = 19¹ × 23¹ × 107¹

Step-2: Prime Factorization of 46766

Prime factors of 46766 are 2, 67, 349. Prime factorization of 46766 in exponential form is:

46766 = 2¹ × 67¹ × 349¹

Step-3: Factors of 46759

List of positive integer factors of 46759 that divides 46759 without a remainder.

1, 19, 23, 107, 437, 2033, 2461

Step-4: Factors of 46766

List of positive integer factors of 46766 that divides 46759 without a remainder.

1, 2, 67, 134, 349, 698, 23383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46759 and 46766. The biggest common factor number is the GCF number.
So the greatest common factor 46759 and 46766 is 1.

Also check out the Least Common Multiple of 46759 and 46766