What is the Greatest Common Factor of 78048 and 78052?

Greatest common factor (GCF) of 78048 and 78052 is 4.

GCF(78048,78052) = 4

We will now calculate the prime factors of 78048 and 78052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78048 and 78052.

How to find the GCF of 78048 and 78052?

We will first find the prime factorization of 78048 and 78052. After we will calculate the factors of 78048 and 78052 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 78052

Prime factors of 78052 are 2, 13, 19, 79. Prime factorization of 78052 in exponential form is:

78052 = 2² × 13¹ × 19¹ × 79¹

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 78052

List of positive integer factors of 78052 that divides 78048 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 79, 158, 247, 316, 494, 988, 1027, 1501, 2054, 3002, 4108, 6004, 19513, 39026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78048 and 78052. The biggest common factor number is the GCF number.
So the greatest common factor 78048 and 78052 is 4.

Also check out the Least Common Multiple of 78048 and 78052