What is the Greatest Common Factor of 55020 and 55034?

Greatest common factor (GCF) of 55020 and 55034 is 14.

GCF(55020,55034) = 14

We will now calculate the prime factors of 55020 and 55034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55020 and 55034.

How to find the GCF of 55020 and 55034?

We will first find the prime factorization of 55020 and 55034. After we will calculate the factors of 55020 and 55034 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 55034

Prime factors of 55034 are 2, 7, 3931. Prime factorization of 55034 in exponential form is:

55034 = 2¹ × 7¹ × 3931¹

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 55034

List of positive integer factors of 55034 that divides 55020 without a remainder.

1, 2, 7, 14, 3931, 7862, 27517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55020 and 55034. The biggest common factor number is the GCF number.
So the greatest common factor 55020 and 55034 is 14.

Also check out the Least Common Multiple of 55020 and 55034