What is the Greatest Common Factor of 34932 and 34943?

Greatest common factor (GCF) of 34932 and 34943 is 1.

GCF(34932,34943) = 1

We will now calculate the prime factors of 34932 and 34943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34932 and 34943.

How to find the GCF of 34932 and 34943?

We will first find the prime factorization of 34932 and 34943. After we will calculate the factors of 34932 and 34943 and find the biggest common factor number .

Step-1: Prime Factorization of 34932

Prime factors of 34932 are 2, 3, 41, 71. Prime factorization of 34932 in exponential form is:

34932 = 2² × 3¹ × 41¹ × 71¹

Step-2: Prime Factorization of 34943

Prime factors of 34943 are 83, 421. Prime factorization of 34943 in exponential form is:

34943 = 83¹ × 421¹

Step-3: Factors of 34932

List of positive integer factors of 34932 that divides 34932 without a remainder.

1, 2, 3, 4, 6, 12, 41, 71, 82, 123, 142, 164, 213, 246, 284, 426, 492, 852, 2911, 5822, 8733, 11644, 17466

Step-4: Factors of 34943

List of positive integer factors of 34943 that divides 34932 without a remainder.

1, 83, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34932 and 34943. The biggest common factor number is the GCF number.
So the greatest common factor 34932 and 34943 is 1.

Also check out the Least Common Multiple of 34932 and 34943