What is the Greatest Common Factor of 4746 and 4758?

Greatest common factor (GCF) of 4746 and 4758 is 6.

GCF(4746,4758) = 6

We will now calculate the prime factors of 4746 and 4758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4746 and 4758.

How to find the GCF of 4746 and 4758?

We will first find the prime factorization of 4746 and 4758. After we will calculate the factors of 4746 and 4758 and find the biggest common factor number .

Step-1: Prime Factorization of 4746

Prime factors of 4746 are 2, 3, 7, 113. Prime factorization of 4746 in exponential form is:

4746 = 2¹ × 3¹ × 7¹ × 113¹

Step-2: Prime Factorization of 4758

Prime factors of 4758 are 2, 3, 13, 61. Prime factorization of 4758 in exponential form is:

4758 = 2¹ × 3¹ × 13¹ × 61¹

Step-3: Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373

Step-4: Factors of 4758

List of positive integer factors of 4758 that divides 4746 without a remainder.

1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4746 and 4758. The biggest common factor number is the GCF number.
So the greatest common factor 4746 and 4758 is 6.

Also check out the Least Common Multiple of 4746 and 4758