What is the Greatest Common Factor of 55612 and 55620?

Greatest common factor (GCF) of 55612 and 55620 is 4.

GCF(55612,55620) = 4

We will now calculate the prime factors of 55612 and 55620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55612 and 55620.

How to find the GCF of 55612 and 55620?

We will first find the prime factorization of 55612 and 55620. After we will calculate the factors of 55612 and 55620 and find the biggest common factor number .

Step-1: Prime Factorization of 55612

Prime factors of 55612 are 2, 13903. Prime factorization of 55612 in exponential form is:

55612 = 2² × 13903¹

Step-2: Prime Factorization of 55620

Prime factors of 55620 are 2, 3, 5, 103. Prime factorization of 55620 in exponential form is:

55620 = 2² × 3³ × 5¹ × 103¹

Step-3: Factors of 55612

List of positive integer factors of 55612 that divides 55612 without a remainder.

1, 2, 4, 13903, 27806

Step-4: Factors of 55620

List of positive integer factors of 55620 that divides 55612 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 103, 108, 135, 180, 206, 270, 309, 412, 515, 540, 618, 927, 1030, 1236, 1545, 1854, 2060, 2781, 3090, 3708, 4635, 5562, 6180, 9270, 11124, 13905, 18540, 27810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55612 and 55620. The biggest common factor number is the GCF number.
So the greatest common factor 55612 and 55620 is 4.

Also check out the Least Common Multiple of 55612 and 55620