What is the Greatest Common Factor of 76494 and 76505?

Greatest common factor (GCF) of 76494 and 76505 is 11.

GCF(76494,76505) = 11

We will now calculate the prime factors of 76494 and 76505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76494 and 76505.

How to find the GCF of 76494 and 76505?

We will first find the prime factorization of 76494 and 76505. After we will calculate the factors of 76494 and 76505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76505

Prime factors of 76505 are 5, 11, 13, 107. Prime factorization of 76505 in exponential form is:

76505 = 5¹ × 11¹ × 13¹ × 107¹

Step-3: Factors of 76494

List of positive integer factors of 76494 that divides 76494 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

Step-4: Factors of 76505

List of positive integer factors of 76505 that divides 76494 without a remainder.

1, 5, 11, 13, 55, 65, 107, 143, 535, 715, 1177, 1391, 5885, 6955, 15301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76494 and 76505. The biggest common factor number is the GCF number.
So the greatest common factor 76494 and 76505 is 11.

Also check out the Least Common Multiple of 76494 and 76505