What is the Greatest Common Factor of 65032 and 65050?

Greatest common factor (GCF) of 65032 and 65050 is 2.

GCF(65032,65050) = 2

We will now calculate the prime factors of 65032 and 65050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65032 and 65050.

How to find the GCF of 65032 and 65050?

We will first find the prime factorization of 65032 and 65050. After we will calculate the factors of 65032 and 65050 and find the biggest common factor number .

Step-1: Prime Factorization of 65032

Prime factors of 65032 are 2, 11, 739. Prime factorization of 65032 in exponential form is:

65032 = 2³ × 11¹ × 739¹

Step-2: Prime Factorization of 65050

Prime factors of 65050 are 2, 5, 1301. Prime factorization of 65050 in exponential form is:

65050 = 2¹ × 5² × 1301¹

Step-3: Factors of 65032

List of positive integer factors of 65032 that divides 65032 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 739, 1478, 2956, 5912, 8129, 16258, 32516

Step-4: Factors of 65050

List of positive integer factors of 65050 that divides 65032 without a remainder.

1, 2, 5, 10, 25, 50, 1301, 2602, 6505, 13010, 32525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65032 and 65050. The biggest common factor number is the GCF number.
So the greatest common factor 65032 and 65050 is 2.

Also check out the Least Common Multiple of 65032 and 65050