What is the Greatest Common Factor of 78048 and 78062?

Greatest common factor (GCF) of 78048 and 78062 is 2.

GCF(78048,78062) = 2

We will now calculate the prime factors of 78048 and 78062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78048 and 78062.

How to find the GCF of 78048 and 78062?

We will first find the prime factorization of 78048 and 78062. After we will calculate the factors of 78048 and 78062 and find the biggest common factor number .

Step-1: Prime Factorization of 78048

Prime factors of 78048 are 2, 3, 271. Prime factorization of 78048 in exponential form is:

78048 = 2⁵ × 3² × 271¹

Step-2: Prime Factorization of 78062

Prime factors of 78062 are 2, 23, 1697. Prime factorization of 78062 in exponential form is:

78062 = 2¹ × 23¹ × 1697¹

Step-3: Factors of 78048

List of positive integer factors of 78048 that divides 78048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 271, 288, 542, 813, 1084, 1626, 2168, 2439, 3252, 4336, 4878, 6504, 8672, 9756, 13008, 19512, 26016, 39024

Step-4: Factors of 78062

List of positive integer factors of 78062 that divides 78048 without a remainder.

1, 2, 23, 46, 1697, 3394, 39031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78048 and 78062. The biggest common factor number is the GCF number.
So the greatest common factor 78048 and 78062 is 2.

Also check out the Least Common Multiple of 78048 and 78062