What is the Greatest Common Factor of 78330 and 78338?

Greatest common factor (GCF) of 78330 and 78338 is 2.

GCF(78330,78338) = 2

We will now calculate the prime factors of 78330 and 78338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78330 and 78338.

How to find the GCF of 78330 and 78338?

We will first find the prime factorization of 78330 and 78338. After we will calculate the factors of 78330 and 78338 and find the biggest common factor number .

Step-1: Prime Factorization of 78330

Prime factors of 78330 are 2, 3, 5, 7, 373. Prime factorization of 78330 in exponential form is:

78330 = 2¹ × 3¹ × 5¹ × 7¹ × 373¹

Step-2: Prime Factorization of 78338

Prime factors of 78338 are 2, 13, 23, 131. Prime factorization of 78338 in exponential form is:

78338 = 2¹ × 13¹ × 23¹ × 131¹

Step-3: Factors of 78330

List of positive integer factors of 78330 that divides 78330 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 373, 746, 1119, 1865, 2238, 2611, 3730, 5222, 5595, 7833, 11190, 13055, 15666, 26110, 39165

Step-4: Factors of 78338

List of positive integer factors of 78338 that divides 78330 without a remainder.

1, 2, 13, 23, 26, 46, 131, 262, 299, 598, 1703, 3013, 3406, 6026, 39169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78330 and 78338. The biggest common factor number is the GCF number.
So the greatest common factor 78330 and 78338 is 2.

Also check out the Least Common Multiple of 78330 and 78338