What is the Greatest Common Factor of 54229 and 54236?

Greatest common factor (GCF) of 54229 and 54236 is 7.

GCF(54229,54236) = 7

We will now calculate the prime factors of 54229 and 54236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54229 and 54236.

How to find the GCF of 54229 and 54236?

We will first find the prime factorization of 54229 and 54236. After we will calculate the factors of 54229 and 54236 and find the biggest common factor number .

Step-1: Prime Factorization of 54229

Prime factors of 54229 are 7, 61, 127. Prime factorization of 54229 in exponential form is:

54229 = 7¹ × 61¹ × 127¹

Step-2: Prime Factorization of 54236

Prime factors of 54236 are 2, 7, 13, 149. Prime factorization of 54236 in exponential form is:

54236 = 2² × 7¹ × 13¹ × 149¹

Step-3: Factors of 54229

List of positive integer factors of 54229 that divides 54229 without a remainder.

1, 7, 61, 127, 427, 889, 7747

Step-4: Factors of 54236

List of positive integer factors of 54236 that divides 54229 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 149, 182, 298, 364, 596, 1043, 1937, 2086, 3874, 4172, 7748, 13559, 27118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54229 and 54236. The biggest common factor number is the GCF number.
So the greatest common factor 54229 and 54236 is 7.

Also check out the Least Common Multiple of 54229 and 54236