What is the Greatest Common Factor of 65138 and 65154?

Greatest common factor (GCF) of 65138 and 65154 is 2.

GCF(65138,65154) = 2

We will now calculate the prime factors of 65138 and 65154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65138 and 65154.

How to find the GCF of 65138 and 65154?

We will first find the prime factorization of 65138 and 65154. After we will calculate the factors of 65138 and 65154 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 65154

Prime factors of 65154 are 2, 3, 10859. Prime factorization of 65154 in exponential form is:

65154 = 2¹ × 3¹ × 10859¹

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 65154

List of positive integer factors of 65154 that divides 65138 without a remainder.

1, 2, 3, 6, 10859, 21718, 32577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65138 and 65154. The biggest common factor number is the GCF number.
So the greatest common factor 65138 and 65154 is 2.

Also check out the Least Common Multiple of 65138 and 65154