What is the Greatest Common Factor of 55020 and 55040?

Greatest common factor (GCF) of 55020 and 55040 is 20.

GCF(55020,55040) = 20

We will now calculate the prime factors of 55020 and 55040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55020 and 55040.

How to find the GCF of 55020 and 55040?

We will first find the prime factorization of 55020 and 55040. After we will calculate the factors of 55020 and 55040 and find the biggest common factor number .

Step-1: Prime Factorization of 55020

Prime factors of 55020 are 2, 3, 5, 7, 131. Prime factorization of 55020 in exponential form is:

55020 = 2² × 3¹ × 5¹ × 7¹ × 131¹

Step-2: Prime Factorization of 55040

Prime factors of 55040 are 2, 5, 43. Prime factorization of 55040 in exponential form is:

55040 = 2⁸ × 5¹ × 43¹

Step-3: Factors of 55020

List of positive integer factors of 55020 that divides 55020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 131, 140, 210, 262, 393, 420, 524, 655, 786, 917, 1310, 1572, 1834, 1965, 2620, 2751, 3668, 3930, 4585, 5502, 7860, 9170, 11004, 13755, 18340, 27510

Step-4: Factors of 55040

List of positive integer factors of 55040 that divides 55020 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 128, 160, 172, 215, 256, 320, 344, 430, 640, 688, 860, 1280, 1376, 1720, 2752, 3440, 5504, 6880, 11008, 13760, 27520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55020 and 55040. The biggest common factor number is the GCF number.
So the greatest common factor 55020 and 55040 is 20.

Also check out the Least Common Multiple of 55020 and 55040