What is the Greatest Common Factor of 34932 and 34949?

Greatest common factor (GCF) of 34932 and 34949 is 1.

GCF(34932,34949) = 1

We will now calculate the prime factors of 34932 and 34949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34932 and 34949.

How to find the GCF of 34932 and 34949?

We will first find the prime factorization of 34932 and 34949. After we will calculate the factors of 34932 and 34949 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 34949

Prime factors of 34949 are 34949. Prime factorization of 34949 in exponential form is:

34949 = 34949¹

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 34949

List of positive integer factors of 34949 that divides 34932 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34932 and 34949. The biggest common factor number is the GCF number.
So the greatest common factor 34932 and 34949 is 1.

Also check out the Least Common Multiple of 34932 and 34949