What is the Greatest Common Factor of 34220 and 34224?

Greatest common factor (GCF) of 34220 and 34224 is 4.

GCF(34220,34224) = 4

We will now calculate the prime factors of 34220 and 34224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34220 and 34224.

How to find the GCF of 34220 and 34224?

We will first find the prime factorization of 34220 and 34224. After we will calculate the factors of 34220 and 34224 and find the biggest common factor number .

Step-1: Prime Factorization of 34220

Prime factors of 34220 are 2, 5, 29, 59. Prime factorization of 34220 in exponential form is:

34220 = 2² × 5¹ × 29¹ × 59¹

Step-2: Prime Factorization of 34224

Prime factors of 34224 are 2, 3, 23, 31. Prime factorization of 34224 in exponential form is:

34224 = 2⁴ × 3¹ × 23¹ × 31¹

Step-3: Factors of 34220

List of positive integer factors of 34220 that divides 34220 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 59, 116, 118, 145, 236, 290, 295, 580, 590, 1180, 1711, 3422, 6844, 8555, 17110

Step-4: Factors of 34224

List of positive integer factors of 34224 that divides 34220 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 46, 48, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 744, 1104, 1426, 1488, 2139, 2852, 4278, 5704, 8556, 11408, 17112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34220 and 34224. The biggest common factor number is the GCF number.
So the greatest common factor 34220 and 34224 is 4.

Also check out the Least Common Multiple of 34220 and 34224