What is the Greatest Common Factor of 46702 and 46721?

Greatest common factor (GCF) of 46702 and 46721 is 19.

GCF(46702,46721) = 19

We will now calculate the prime factors of 46702 and 46721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46702 and 46721.

How to find the GCF of 46702 and 46721?

We will first find the prime factorization of 46702 and 46721. After we will calculate the factors of 46702 and 46721 and find the biggest common factor number .

Step-1: Prime Factorization of 46702

Prime factors of 46702 are 2, 19, 1229. Prime factorization of 46702 in exponential form is:

46702 = 2¹ × 19¹ × 1229¹

Step-2: Prime Factorization of 46721

Prime factors of 46721 are 19, 2459. Prime factorization of 46721 in exponential form is:

46721 = 19¹ × 2459¹

Step-3: Factors of 46702

List of positive integer factors of 46702 that divides 46702 without a remainder.

1, 2, 19, 38, 1229, 2458, 23351

Step-4: Factors of 46721

List of positive integer factors of 46721 that divides 46702 without a remainder.

1, 19, 2459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46702 and 46721. The biggest common factor number is the GCF number.
So the greatest common factor 46702 and 46721 is 19.

Also check out the Least Common Multiple of 46702 and 46721