What is the Greatest Common Factor of 55622 and 55629?

Greatest common factor (GCF) of 55622 and 55629 is 7.

GCF(55622,55629) = 7

We will now calculate the prime factors of 55622 and 55629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55622 and 55629.

How to find the GCF of 55622 and 55629?

We will first find the prime factorization of 55622 and 55629. After we will calculate the factors of 55622 and 55629 and find the biggest common factor number .

Step-1: Prime Factorization of 55622

Prime factors of 55622 are 2, 7, 29, 137. Prime factorization of 55622 in exponential form is:

55622 = 2¹ × 7¹ × 29¹ × 137¹

Step-2: Prime Factorization of 55629

Prime factors of 55629 are 3, 7, 883. Prime factorization of 55629 in exponential form is:

55629 = 3² × 7¹ × 883¹

Step-3: Factors of 55622

List of positive integer factors of 55622 that divides 55622 without a remainder.

1, 2, 7, 14, 29, 58, 137, 203, 274, 406, 959, 1918, 3973, 7946, 27811

Step-4: Factors of 55629

List of positive integer factors of 55629 that divides 55622 without a remainder.

1, 3, 7, 9, 21, 63, 883, 2649, 6181, 7947, 18543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55622 and 55629. The biggest common factor number is the GCF number.
So the greatest common factor 55622 and 55629 is 7.

Also check out the Least Common Multiple of 55622 and 55629