What is the Greatest Common Factor of 76475 and 76494?

Greatest common factor (GCF) of 76475 and 76494 is 19.

GCF(76475,76494) = 19

We will now calculate the prime factors of 76475 and 76494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76475 and 76494.

How to find the GCF of 76475 and 76494?

We will first find the prime factorization of 76475 and 76494. After we will calculate the factors of 76475 and 76494 and find the biggest common factor number .

Step-1: Prime Factorization of 76475

Prime factors of 76475 are 5, 7, 19, 23. Prime factorization of 76475 in exponential form is:

76475 = 5² × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 76494

Prime factors of 76494 are 2, 3, 11, 19, 61. Prime factorization of 76494 in exponential form is:

76494 = 2¹ × 3¹ × 11¹ × 19¹ × 61¹

Step-3: Factors of 76475

List of positive integer factors of 76475 that divides 76475 without a remainder.

1, 5, 7, 19, 23, 25, 35, 95, 115, 133, 161, 175, 437, 475, 575, 665, 805, 2185, 3059, 3325, 4025, 10925, 15295

Step-4: Factors of 76494

List of positive integer factors of 76494 that divides 76475 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 61, 66, 114, 122, 183, 209, 366, 418, 627, 671, 1159, 1254, 1342, 2013, 2318, 3477, 4026, 6954, 12749, 25498, 38247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76475 and 76494. The biggest common factor number is the GCF number.
So the greatest common factor 76475 and 76494 is 19.

Also check out the Least Common Multiple of 76475 and 76494