What is the Greatest Common Factor of 46748 and 46760?

Greatest common factor (GCF) of 46748 and 46760 is 4.

GCF(46748,46760) = 4

We will now calculate the prime factors of 46748 and 46760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46748 and 46760.

How to find the GCF of 46748 and 46760?

We will first find the prime factorization of 46748 and 46760. After we will calculate the factors of 46748 and 46760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46760

Prime factors of 46760 are 2, 5, 7, 167. Prime factorization of 46760 in exponential form is:

46760 = 2³ × 5¹ × 7¹ × 167¹

Step-3: Factors of 46748

List of positive integer factors of 46748 that divides 46748 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

Step-4: Factors of 46760

List of positive integer factors of 46760 that divides 46748 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 167, 280, 334, 668, 835, 1169, 1336, 1670, 2338, 3340, 4676, 5845, 6680, 9352, 11690, 23380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46748 and 46760. The biggest common factor number is the GCF number.
So the greatest common factor 46748 and 46760 is 4.

Also check out the Least Common Multiple of 46748 and 46760