What is the Greatest Common Factor of 65038 and 65048?

Greatest common factor (GCF) of 65038 and 65048 is 2.

GCF(65038,65048) = 2

We will now calculate the prime factors of 65038 and 65048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65038 and 65048.

How to find the GCF of 65038 and 65048?

We will first find the prime factorization of 65038 and 65048. After we will calculate the factors of 65038 and 65048 and find the biggest common factor number .

Step-1: Prime Factorization of 65038

Prime factors of 65038 are 2, 31, 1049. Prime factorization of 65038 in exponential form is:

65038 = 2¹ × 31¹ × 1049¹

Step-2: Prime Factorization of 65048

Prime factors of 65048 are 2, 47, 173. Prime factorization of 65048 in exponential form is:

65048 = 2³ × 47¹ × 173¹

Step-3: Factors of 65038

List of positive integer factors of 65038 that divides 65038 without a remainder.

1, 2, 31, 62, 1049, 2098, 32519

Step-4: Factors of 65048

List of positive integer factors of 65048 that divides 65038 without a remainder.

1, 2, 4, 8, 47, 94, 173, 188, 346, 376, 692, 1384, 8131, 16262, 32524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65038 and 65048. The biggest common factor number is the GCF number.
So the greatest common factor 65038 and 65048 is 2.

Also check out the Least Common Multiple of 65038 and 65048