What is the Greatest Common Factor of 78028 and 78048?

Greatest common factor (GCF) of 78028 and 78048 is 4.

GCF(78028,78048) = 4

We will now calculate the prime factors of 78028 and 78048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78028 and 78048.

How to find the GCF of 78028 and 78048?

We will first find the prime factorization of 78028 and 78048. After we will calculate the factors of 78028 and 78048 and find the biggest common factor number .

Step-1: Prime Factorization of 78028

Prime factors of 78028 are 2, 19507. Prime factorization of 78028 in exponential form is:

78028 = 2² × 19507¹

Step-2: 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-3: Factors of 78028

List of positive integer factors of 78028 that divides 78028 without a remainder.

1, 2, 4, 19507, 39014

Step-4: Factors of 78048

List of positive integer factors of 78048 that divides 78028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78028 and 78048. The biggest common factor number is the GCF number.
So the greatest common factor 78028 and 78048 is 4.

Also check out the Least Common Multiple of 78028 and 78048