What is the Greatest Common Factor of 94848 and 94862?

Greatest common factor (GCF) of 94848 and 94862 is 2.

GCF(94848,94862) = 2

We will now calculate the prime factors of 94848 and 94862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94848 and 94862.

How to find the GCF of 94848 and 94862?

We will first find the prime factorization of 94848 and 94862. After we will calculate the factors of 94848 and 94862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94862

Prime factors of 94862 are 2, 47431. Prime factorization of 94862 in exponential form is:

94862 = 2¹ × 47431¹

Step-3: Factors of 94848

List of positive integer factors of 94848 that divides 94848 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

Step-4: Factors of 94862

List of positive integer factors of 94862 that divides 94848 without a remainder.

1, 2, 47431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94848 and 94862. The biggest common factor number is the GCF number.
So the greatest common factor 94848 and 94862 is 2.

Also check out the Least Common Multiple of 94848 and 94862