What is the Greatest Common Factor of 47414 and 47424?

Greatest common factor (GCF) of 47414 and 47424 is 2.

GCF(47414,47424) = 2

We will now calculate the prime factors of 47414 and 47424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47414 and 47424.

How to find the GCF of 47414 and 47424?

We will first find the prime factorization of 47414 and 47424. After we will calculate the factors of 47414 and 47424 and find the biggest common factor number .

Step-1: Prime Factorization of 47414

Prime factors of 47414 are 2, 151, 157. Prime factorization of 47414 in exponential form is:

47414 = 2¹ × 151¹ × 157¹

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 47414

List of positive integer factors of 47414 that divides 47414 without a remainder.

1, 2, 151, 157, 302, 314, 23707

Step-4: Factors of 47424

List of positive integer factors of 47424 that divides 47414 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 47414 and 47424. The biggest common factor number is the GCF number.
So the greatest common factor 47414 and 47424 is 2.

Also check out the Least Common Multiple of 47414 and 47424