What is the Greatest Common Factor of 74754 and 74763?

Greatest common factor (GCF) of 74754 and 74763 is 9.

GCF(74754,74763) = 9

We will now calculate the prime factors of 74754 and 74763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74754 and 74763.

How to find the GCF of 74754 and 74763?

We will first find the prime factorization of 74754 and 74763. After we will calculate the factors of 74754 and 74763 and find the biggest common factor number .

Step-1: Prime Factorization of 74754

Prime factors of 74754 are 2, 3, 4153. Prime factorization of 74754 in exponential form is:

74754 = 2¹ × 3² × 4153¹

Step-2: Prime Factorization of 74763

Prime factors of 74763 are 3, 13, 71. Prime factorization of 74763 in exponential form is:

74763 = 3⁴ × 13¹ × 71¹

Step-3: Factors of 74754

List of positive integer factors of 74754 that divides 74754 without a remainder.

1, 2, 3, 6, 9, 18, 4153, 8306, 12459, 24918, 37377

Step-4: Factors of 74763

List of positive integer factors of 74763 that divides 74754 without a remainder.

1, 3, 9, 13, 27, 39, 71, 81, 117, 213, 351, 639, 923, 1053, 1917, 2769, 5751, 8307, 24921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74754 and 74763. The biggest common factor number is the GCF number.
So the greatest common factor 74754 and 74763 is 9.

Also check out the Least Common Multiple of 74754 and 74763