What is the Greatest Common Factor of 65362 and 65380?

Greatest common factor (GCF) of 65362 and 65380 is 2.

GCF(65362,65380) = 2

We will now calculate the prime factors of 65362 and 65380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65362 and 65380.

How to find the GCF of 65362 and 65380?

We will first find the prime factorization of 65362 and 65380. After we will calculate the factors of 65362 and 65380 and find the biggest common factor number .

Step-1: Prime Factorization of 65362

Prime factors of 65362 are 2, 11, 2971. Prime factorization of 65362 in exponential form is:

65362 = 2¹ × 11¹ × 2971¹

Step-2: Prime Factorization of 65380

Prime factors of 65380 are 2, 5, 7, 467. Prime factorization of 65380 in exponential form is:

65380 = 2² × 5¹ × 7¹ × 467¹

Step-3: Factors of 65362

List of positive integer factors of 65362 that divides 65362 without a remainder.

1, 2, 11, 22, 2971, 5942, 32681

Step-4: Factors of 65380

List of positive integer factors of 65380 that divides 65362 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 467, 934, 1868, 2335, 3269, 4670, 6538, 9340, 13076, 16345, 32690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65362 and 65380. The biggest common factor number is the GCF number.
So the greatest common factor 65362 and 65380 is 2.

Also check out the Least Common Multiple of 65362 and 65380