What is the Greatest Common Factor of 34920 and 34932?

Greatest common factor (GCF) of 34920 and 34932 is 12.

GCF(34920,34932) = 12

We will now calculate the prime factors of 34920 and 34932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34920 and 34932.

How to find the GCF of 34920 and 34932?

We will first find the prime factorization of 34920 and 34932. After we will calculate the factors of 34920 and 34932 and find the biggest common factor number .

Step-1: Prime Factorization of 34920

Prime factors of 34920 are 2, 3, 5, 97. Prime factorization of 34920 in exponential form is:

34920 = 2³ × 3² × 5¹ × 97¹

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 34920

List of positive integer factors of 34920 that divides 34920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 97, 120, 180, 194, 291, 360, 388, 485, 582, 776, 873, 970, 1164, 1455, 1746, 1940, 2328, 2910, 3492, 3880, 4365, 5820, 6984, 8730, 11640, 17460

Step-4: Factors of 34932

List of positive integer factors of 34932 that divides 34920 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 34920 and 34932. The biggest common factor number is the GCF number.
So the greatest common factor 34920 and 34932 is 12.

Also check out the Least Common Multiple of 34920 and 34932