What is the Greatest Common Factor of 70272 and 70277?

Greatest common factor (GCF) of 70272 and 70277 is 1.

GCF(70272,70277) = 1

We will now calculate the prime factors of 70272 and 70277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70272 and 70277.

How to find the GCF of 70272 and 70277?

We will first find the prime factorization of 70272 and 70277. After we will calculate the factors of 70272 and 70277 and find the biggest common factor number .

Step-1: Prime Factorization of 70272

Prime factors of 70272 are 2, 3, 61. Prime factorization of 70272 in exponential form is:

70272 = 2⁷ × 3² × 61¹

Step-2: Prime Factorization of 70277

Prime factors of 70277 are 31, 2267. Prime factorization of 70277 in exponential form is:

70277 = 31¹ × 2267¹

Step-3: Factors of 70272

List of positive integer factors of 70272 that divides 70272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 61, 64, 72, 96, 122, 128, 144, 183, 192, 244, 288, 366, 384, 488, 549, 576, 732, 976, 1098, 1152, 1464, 1952, 2196, 2928, 3904, 4392, 5856, 7808, 8784, 11712, 17568, 23424, 35136

Step-4: Factors of 70277

List of positive integer factors of 70277 that divides 70272 without a remainder.

1, 31, 2267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70272 and 70277. The biggest common factor number is the GCF number.
So the greatest common factor 70272 and 70277 is 1.

Also check out the Least Common Multiple of 70272 and 70277