What is the Greatest Common Factor of 94829 and 94848?

Greatest common factor (GCF) of 94829 and 94848 is 19.

GCF(94829,94848) = 19

We will now calculate the prime factors of 94829 and 94848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94829 and 94848.

How to find the GCF of 94829 and 94848?

We will first find the prime factorization of 94829 and 94848. After we will calculate the factors of 94829 and 94848 and find the biggest common factor number .

Step-1: Prime Factorization of 94829

Prime factors of 94829 are 7, 19, 23, 31. Prime factorization of 94829 in exponential form is:

94829 = 7¹ × 19¹ × 23¹ × 31¹

Step-2: Prime Factorization of 94848

Prime factors of 94848 are 2, 3, 13, 19. Prime factorization of 94848 in exponential form is:

94848 = 2⁷ × 3¹ × 13¹ × 19¹

Step-3: Factors of 94829

List of positive integer factors of 94829 that divides 94829 without a remainder.

1, 7, 19, 23, 31, 133, 161, 217, 437, 589, 713, 3059, 4123, 4991, 13547

Step-4: Factors of 94848

List of positive integer factors of 94848 that divides 94829 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 32, 38, 39, 48, 52, 57, 64, 76, 78, 96, 104, 114, 128, 152, 156, 192, 208, 228, 247, 304, 312, 384, 416, 456, 494, 608, 624, 741, 832, 912, 988, 1216, 1248, 1482, 1664, 1824, 1976, 2432, 2496, 2964, 3648, 3952, 4992, 5928, 7296, 7904, 11856, 15808, 23712, 31616, 47424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94829 and 94848. The biggest common factor number is the GCF number.
So the greatest common factor 94829 and 94848 is 19.

Also check out the Least Common Multiple of 94829 and 94848