What is the Greatest Common Factor of 46759 and 46778?

Greatest common factor (GCF) of 46759 and 46778 is 19.

GCF(46759,46778) = 19

We will now calculate the prime factors of 46759 and 46778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46759 and 46778.

How to find the GCF of 46759 and 46778?

We will first find the prime factorization of 46759 and 46778. After we will calculate the factors of 46759 and 46778 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 46778

Prime factors of 46778 are 2, 19, 1231. Prime factorization of 46778 in exponential form is:

46778 = 2¹ × 19¹ × 1231¹

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 46778

List of positive integer factors of 46778 that divides 46759 without a remainder.

1, 2, 19, 38, 1231, 2462, 23389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46759 and 46778. The biggest common factor number is the GCF number.
So the greatest common factor 46759 and 46778 is 19.

Also check out the Least Common Multiple of 46759 and 46778