What is the Greatest Common Factor of 34924 and 34944?

Greatest common factor (GCF) of 34924 and 34944 is 4.

GCF(34924,34944) = 4

We will now calculate the prime factors of 34924 and 34944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34924 and 34944.

How to find the GCF of 34924 and 34944?

We will first find the prime factorization of 34924 and 34944. After we will calculate the factors of 34924 and 34944 and find the biggest common factor number .

Step-1: Prime Factorization of 34924

Prime factors of 34924 are 2, 8731. Prime factorization of 34924 in exponential form is:

34924 = 2² × 8731¹

Step-2: Prime Factorization of 34944

Prime factors of 34944 are 2, 3, 7, 13. Prime factorization of 34944 in exponential form is:

34944 = 2⁷ × 3¹ × 7¹ × 13¹

Step-3: Factors of 34924

List of positive integer factors of 34924 that divides 34924 without a remainder.

1, 2, 4, 8731, 17462

Step-4: Factors of 34944

List of positive integer factors of 34944 that divides 34924 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 64, 78, 84, 91, 96, 104, 112, 128, 156, 168, 182, 192, 208, 224, 273, 312, 336, 364, 384, 416, 448, 546, 624, 672, 728, 832, 896, 1092, 1248, 1344, 1456, 1664, 2184, 2496, 2688, 2912, 4368, 4992, 5824, 8736, 11648, 17472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34924 and 34944. The biggest common factor number is the GCF number.
So the greatest common factor 34924 and 34944 is 4.

Also check out the Least Common Multiple of 34924 and 34944