What is the Greatest Common Factor of 48762 and 48776?

Greatest common factor (GCF) of 48762 and 48776 is 14.

GCF(48762,48776) = 14

We will now calculate the prime factors of 48762 and 48776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48762 and 48776.

How to find the GCF of 48762 and 48776?

We will first find the prime factorization of 48762 and 48776. After we will calculate the factors of 48762 and 48776 and find the biggest common factor number .

Step-1: Prime Factorization of 48762

Prime factors of 48762 are 2, 3, 7, 43. Prime factorization of 48762 in exponential form is:

48762 = 2¹ × 3⁴ × 7¹ × 43¹

Step-2: Prime Factorization of 48776

Prime factors of 48776 are 2, 7, 13, 67. Prime factorization of 48776 in exponential form is:

48776 = 2³ × 7¹ × 13¹ × 67¹

Step-3: Factors of 48762

List of positive integer factors of 48762 that divides 48762 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 43, 54, 63, 81, 86, 126, 129, 162, 189, 258, 301, 378, 387, 567, 602, 774, 903, 1134, 1161, 1806, 2322, 2709, 3483, 5418, 6966, 8127, 16254, 24381

Step-4: Factors of 48776

List of positive integer factors of 48776 that divides 48762 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 67, 91, 104, 134, 182, 268, 364, 469, 536, 728, 871, 938, 1742, 1876, 3484, 3752, 6097, 6968, 12194, 24388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48762 and 48776. The biggest common factor number is the GCF number.
So the greatest common factor 48762 and 48776 is 14.

Also check out the Least Common Multiple of 48762 and 48776