What is the Greatest Common Factor of 48042 and 48052?

Greatest common factor (GCF) of 48042 and 48052 is 2.

GCF(48042,48052) = 2

We will now calculate the prime factors of 48042 and 48052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48042 and 48052.

How to find the GCF of 48042 and 48052?

We will first find the prime factorization of 48042 and 48052. After we will calculate the factors of 48042 and 48052 and find the biggest common factor number .

Step-1: Prime Factorization of 48042

Prime factors of 48042 are 2, 3, 17, 157. Prime factorization of 48042 in exponential form is:

48042 = 2¹ × 3² × 17¹ × 157¹

Step-2: Prime Factorization of 48052

Prime factors of 48052 are 2, 41, 293. Prime factorization of 48052 in exponential form is:

48052 = 2² × 41¹ × 293¹

Step-3: Factors of 48042

List of positive integer factors of 48042 that divides 48042 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 157, 306, 314, 471, 942, 1413, 2669, 2826, 5338, 8007, 16014, 24021

Step-4: Factors of 48052

List of positive integer factors of 48052 that divides 48042 without a remainder.

1, 2, 4, 41, 82, 164, 293, 586, 1172, 12013, 24026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48042 and 48052. The biggest common factor number is the GCF number.
So the greatest common factor 48042 and 48052 is 2.

Also check out the Least Common Multiple of 48042 and 48052