What is the Greatest Common Factor of 65380 and 65394?

Greatest common factor (GCF) of 65380 and 65394 is 14.

GCF(65380,65394) = 14

We will now calculate the prime factors of 65380 and 65394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65380 and 65394.

How to find the GCF of 65380 and 65394?

We will first find the prime factorization of 65380 and 65394. After we will calculate the factors of 65380 and 65394 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65394

Prime factors of 65394 are 2, 3, 7, 173. Prime factorization of 65394 in exponential form is:

65394 = 2¹ × 3³ × 7¹ × 173¹

Step-3: Factors of 65380

List of positive integer factors of 65380 that divides 65380 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

Step-4: Factors of 65394

List of positive integer factors of 65394 that divides 65380 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 173, 189, 346, 378, 519, 1038, 1211, 1557, 2422, 3114, 3633, 4671, 7266, 9342, 10899, 21798, 32697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65380 and 65394. The biggest common factor number is the GCF number.
So the greatest common factor 65380 and 65394 is 14.

Also check out the Least Common Multiple of 65380 and 65394