What is the Greatest Common Factor of 65138 and 65152?

Greatest common factor (GCF) of 65138 and 65152 is 2.

GCF(65138,65152) = 2

We will now calculate the prime factors of 65138 and 65152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65138 and 65152.

How to find the GCF of 65138 and 65152?

We will first find the prime factorization of 65138 and 65152. After we will calculate the factors of 65138 and 65152 and find the biggest common factor number .

Step-1: Prime Factorization of 65138

Prime factors of 65138 are 2, 32569. Prime factorization of 65138 in exponential form is:

65138 = 2¹ × 32569¹

Step-2: Prime Factorization of 65152

Prime factors of 65152 are 2, 509. Prime factorization of 65152 in exponential form is:

65152 = 2⁷ × 509¹

Step-3: Factors of 65138

List of positive integer factors of 65138 that divides 65138 without a remainder.

1, 2, 32569

Step-4: Factors of 65152

List of positive integer factors of 65152 that divides 65138 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 509, 1018, 2036, 4072, 8144, 16288, 32576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65138 and 65152. The biggest common factor number is the GCF number.
So the greatest common factor 65138 and 65152 is 2.

Also check out the Least Common Multiple of 65138 and 65152