What is the Greatest Common Factor of 46739 and 46748?

Greatest common factor (GCF) of 46739 and 46748 is 1.

GCF(46739,46748) = 1

We will now calculate the prime factors of 46739 and 46748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46739 and 46748.

How to find the GCF of 46739 and 46748?

We will first find the prime factorization of 46739 and 46748. After we will calculate the factors of 46739 and 46748 and find the biggest common factor number .

Step-1: Prime Factorization of 46739

Prime factors of 46739 are 7, 11, 607. Prime factorization of 46739 in exponential form is:

46739 = 7¹ × 11¹ × 607¹

Step-2: Prime Factorization of 46748

Prime factors of 46748 are 2, 13, 29, 31. Prime factorization of 46748 in exponential form is:

46748 = 2² × 13¹ × 29¹ × 31¹

Step-3: Factors of 46739

List of positive integer factors of 46739 that divides 46739 without a remainder.

1, 7, 11, 77, 607, 4249, 6677

Step-4: Factors of 46748

List of positive integer factors of 46748 that divides 46739 without a remainder.

1, 2, 4, 13, 26, 29, 31, 52, 58, 62, 116, 124, 377, 403, 754, 806, 899, 1508, 1612, 1798, 3596, 11687, 23374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46739 and 46748. The biggest common factor number is the GCF number.
So the greatest common factor 46739 and 46748 is 1.

Also check out the Least Common Multiple of 46739 and 46748