What is the Greatest Common Factor of 52120 and 52138?

Greatest common factor (GCF) of 52120 and 52138 is 2.

GCF(52120,52138) = 2

We will now calculate the prime factors of 52120 and 52138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52120 and 52138.

How to find the GCF of 52120 and 52138?

We will first find the prime factorization of 52120 and 52138. After we will calculate the factors of 52120 and 52138 and find the biggest common factor number .

Step-1: Prime Factorization of 52120

Prime factors of 52120 are 2, 5, 1303. Prime factorization of 52120 in exponential form is:

52120 = 2³ × 5¹ × 1303¹

Step-2: Prime Factorization of 52138

Prime factors of 52138 are 2, 131, 199. Prime factorization of 52138 in exponential form is:

52138 = 2¹ × 131¹ × 199¹

Step-3: Factors of 52120

List of positive integer factors of 52120 that divides 52120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1303, 2606, 5212, 6515, 10424, 13030, 26060

Step-4: Factors of 52138

List of positive integer factors of 52138 that divides 52120 without a remainder.

1, 2, 131, 199, 262, 398, 26069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52120 and 52138. The biggest common factor number is the GCF number.
So the greatest common factor 52120 and 52138 is 2.

Also check out the Least Common Multiple of 52120 and 52138