What is the Greatest Common Factor of 70252 and 70272?

Greatest common factor (GCF) of 70252 and 70272 is 4.

GCF(70252,70272) = 4

We will now calculate the prime factors of 70252 and 70272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70252 and 70272.

How to find the GCF of 70252 and 70272?

We will first find the prime factorization of 70252 and 70272. After we will calculate the factors of 70252 and 70272 and find the biggest common factor number .

Step-1: Prime Factorization of 70252

Prime factors of 70252 are 2, 7, 13, 193. Prime factorization of 70252 in exponential form is:

70252 = 2² × 7¹ × 13¹ × 193¹

Step-2: 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-3: Factors of 70252

List of positive integer factors of 70252 that divides 70252 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 193, 364, 386, 772, 1351, 2509, 2702, 5018, 5404, 10036, 17563, 35126

Step-4: Factors of 70272

List of positive integer factors of 70272 that divides 70252 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70252 and 70272. The biggest common factor number is the GCF number.
So the greatest common factor 70252 and 70272 is 4.

Also check out the Least Common Multiple of 70252 and 70272