What is the Greatest Common Factor of 47419 and 47424?

Greatest common factor (GCF) of 47419 and 47424 is 1.

GCF(47419,47424) = 1

We will now calculate the prime factors of 47419 and 47424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47419 and 47424.

How to find the GCF of 47419 and 47424?

We will first find the prime factorization of 47419 and 47424. After we will calculate the factors of 47419 and 47424 and find the biggest common factor number .

Step-1: Prime Factorization of 47419

Prime factors of 47419 are 47419. Prime factorization of 47419 in exponential form is:

47419 = 47419¹

Step-2: Prime Factorization of 47424

Prime factors of 47424 are 2, 3, 13, 19. Prime factorization of 47424 in exponential form is:

47424 = 2⁶ × 3¹ × 13¹ × 19¹

Step-3: Factors of 47419

List of positive integer factors of 47419 that divides 47419 without a remainder.

Step-4: Factors of 47424

List of positive integer factors of 47424 that divides 47419 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, 152, 156, 192, 208, 228, 247, 304, 312, 416, 456, 494, 608, 624, 741, 832, 912, 988, 1216, 1248, 1482, 1824, 1976, 2496, 2964, 3648, 3952, 5928, 7904, 11856, 15808, 23712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47419 and 47424. The biggest common factor number is the GCF number.
So the greatest common factor 47419 and 47424 is 1.

Also check out the Least Common Multiple of 47419 and 47424