What is the Greatest Common Factor of 54610 and 54620?

Greatest common factor (GCF) of 54610 and 54620 is 10.

GCF(54610,54620) = 10

We will now calculate the prime factors of 54610 and 54620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54610 and 54620.

How to find the GCF of 54610 and 54620?

We will first find the prime factorization of 54610 and 54620. After we will calculate the factors of 54610 and 54620 and find the biggest common factor number .

Step-1: Prime Factorization of 54610

Prime factors of 54610 are 2, 5, 43, 127. Prime factorization of 54610 in exponential form is:

54610 = 2¹ × 5¹ × 43¹ × 127¹

Step-2: Prime Factorization of 54620

Prime factors of 54620 are 2, 5, 2731. Prime factorization of 54620 in exponential form is:

54620 = 2² × 5¹ × 2731¹

Step-3: Factors of 54610

List of positive integer factors of 54610 that divides 54610 without a remainder.

1, 2, 5, 10, 43, 86, 127, 215, 254, 430, 635, 1270, 5461, 10922, 27305

Step-4: Factors of 54620

List of positive integer factors of 54620 that divides 54610 without a remainder.

1, 2, 4, 5, 10, 20, 2731, 5462, 10924, 13655, 27310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54610 and 54620. The biggest common factor number is the GCF number.
So the greatest common factor 54610 and 54620 is 10.

Also check out the Least Common Multiple of 54610 and 54620