What is the Greatest Common Factor of 34912 and 34932?

Greatest common factor (GCF) of 34912 and 34932 is 4.

GCF(34912,34932) = 4

We will now calculate the prime factors of 34912 and 34932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34912 and 34932.

How to find the GCF of 34912 and 34932?

We will first find the prime factorization of 34912 and 34932. After we will calculate the factors of 34912 and 34932 and find the biggest common factor number .

Step-1: Prime Factorization of 34912

Prime factors of 34912 are 2, 1091. Prime factorization of 34912 in exponential form is:

34912 = 2⁵ × 1091¹

Step-2: 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-3: Factors of 34912

List of positive integer factors of 34912 that divides 34912 without a remainder.

1, 2, 4, 8, 16, 32, 1091, 2182, 4364, 8728, 17456

Step-4: Factors of 34932

List of positive integer factors of 34932 that divides 34912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34912 and 34932. The biggest common factor number is the GCF number.
So the greatest common factor 34912 and 34932 is 4.

Also check out the Least Common Multiple of 34912 and 34932