What is the Greatest Common Factor of 54922 and 54936?

Greatest common factor (GCF) of 54922 and 54936 is 14.

GCF(54922,54936) = 14

We will now calculate the prime factors of 54922 and 54936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54922 and 54936.

How to find the GCF of 54922 and 54936?

We will first find the prime factorization of 54922 and 54936. After we will calculate the factors of 54922 and 54936 and find the biggest common factor number .

Step-1: Prime Factorization of 54922

Prime factors of 54922 are 2, 7, 3923. Prime factorization of 54922 in exponential form is:

54922 = 2¹ × 7¹ × 3923¹

Step-2: Prime Factorization of 54936

Prime factors of 54936 are 2, 3, 7, 109. Prime factorization of 54936 in exponential form is:

54936 = 2³ × 3² × 7¹ × 109¹

Step-3: Factors of 54922

List of positive integer factors of 54922 that divides 54922 without a remainder.

1, 2, 7, 14, 3923, 7846, 27461

Step-4: Factors of 54936

List of positive integer factors of 54936 that divides 54922 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 109, 126, 168, 218, 252, 327, 436, 504, 654, 763, 872, 981, 1308, 1526, 1962, 2289, 2616, 3052, 3924, 4578, 6104, 6867, 7848, 9156, 13734, 18312, 27468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54922 and 54936. The biggest common factor number is the GCF number.
So the greatest common factor 54922 and 54936 is 14.

Also check out the Least Common Multiple of 54922 and 54936