What is the Greatest Common Factor of 70224 and 70228?

Greatest common factor (GCF) of 70224 and 70228 is 4.

GCF(70224,70228) = 4

We will now calculate the prime factors of 70224 and 70228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70224 and 70228.

How to find the GCF of 70224 and 70228?

We will first find the prime factorization of 70224 and 70228. After we will calculate the factors of 70224 and 70228 and find the biggest common factor number .

Step-1: Prime Factorization of 70224

Prime factors of 70224 are 2, 3, 7, 11, 19. Prime factorization of 70224 in exponential form is:

70224 = 2⁴ × 3¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 70228

Prime factors of 70228 are 2, 97, 181. Prime factorization of 70228 in exponential form is:

70228 = 2² × 97¹ × 181¹

Step-3: Factors of 70224

List of positive integer factors of 70224 that divides 70224 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 19, 21, 22, 24, 28, 33, 38, 42, 44, 48, 56, 57, 66, 76, 77, 84, 88, 112, 114, 132, 133, 152, 154, 168, 176, 209, 228, 231, 264, 266, 304, 308, 336, 399, 418, 456, 462, 528, 532, 616, 627, 798, 836, 912, 924, 1064, 1232, 1254, 1463, 1596, 1672, 1848, 2128, 2508, 2926, 3192, 3344, 3696, 4389, 5016, 5852, 6384, 8778, 10032, 11704, 17556, 23408, 35112

Step-4: Factors of 70228

List of positive integer factors of 70228 that divides 70224 without a remainder.

1, 2, 4, 97, 181, 194, 362, 388, 724, 17557, 35114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70224 and 70228. The biggest common factor number is the GCF number.
So the greatest common factor 70224 and 70228 is 4.

Also check out the Least Common Multiple of 70224 and 70228