What is the Greatest Common Factor of 46928 and 46948?

Greatest common factor (GCF) of 46928 and 46948 is 4.

GCF(46928,46948) = 4

We will now calculate the prime factors of 46928 and 46948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46928 and 46948.

How to find the GCF of 46928 and 46948?

We will first find the prime factorization of 46928 and 46948. After we will calculate the factors of 46928 and 46948 and find the biggest common factor number .

Step-1: Prime Factorization of 46928

Prime factors of 46928 are 2, 7, 419. Prime factorization of 46928 in exponential form is:

46928 = 2⁴ × 7¹ × 419¹

Step-2: Prime Factorization of 46948

Prime factors of 46948 are 2, 11, 97. Prime factorization of 46948 in exponential form is:

46948 = 2² × 11² × 97¹

Step-3: Factors of 46928

List of positive integer factors of 46928 that divides 46928 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 419, 838, 1676, 2933, 3352, 5866, 6704, 11732, 23464

Step-4: Factors of 46948

List of positive integer factors of 46948 that divides 46928 without a remainder.

1, 2, 4, 11, 22, 44, 97, 121, 194, 242, 388, 484, 1067, 2134, 4268, 11737, 23474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46928 and 46948. The biggest common factor number is the GCF number.
So the greatest common factor 46928 and 46948 is 4.

Also check out the Least Common Multiple of 46928 and 46948