What is the Greatest Common Factor of 54656 and 54670?

Greatest common factor (GCF) of 54656 and 54670 is 14.

GCF(54656,54670) = 14

We will now calculate the prime factors of 54656 and 54670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54656 and 54670.

How to find the GCF of 54656 and 54670?

We will first find the prime factorization of 54656 and 54670. After we will calculate the factors of 54656 and 54670 and find the biggest common factor number .

Step-1: Prime Factorization of 54656

Prime factors of 54656 are 2, 7, 61. Prime factorization of 54656 in exponential form is:

54656 = 2⁷ × 7¹ × 61¹

Step-2: Prime Factorization of 54670

Prime factors of 54670 are 2, 5, 7, 11, 71. Prime factorization of 54670 in exponential form is:

54670 = 2¹ × 5¹ × 7¹ × 11¹ × 71¹

Step-3: Factors of 54656

List of positive integer factors of 54656 that divides 54656 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 61, 64, 112, 122, 128, 224, 244, 427, 448, 488, 854, 896, 976, 1708, 1952, 3416, 3904, 6832, 7808, 13664, 27328

Step-4: Factors of 54670

List of positive integer factors of 54670 that divides 54656 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 71, 77, 110, 142, 154, 355, 385, 497, 710, 770, 781, 994, 1562, 2485, 3905, 4970, 5467, 7810, 10934, 27335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54656 and 54670. The biggest common factor number is the GCF number.
So the greatest common factor 54656 and 54670 is 14.

Also check out the Least Common Multiple of 54656 and 54670