What is the Greatest Common Factor of 70272 and 70292?

Greatest common factor (GCF) of 70272 and 70292 is 4.

GCF(70272,70292) = 4

We will now calculate the prime factors of 70272 and 70292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70272 and 70292.

How to find the GCF of 70272 and 70292?

We will first find the prime factorization of 70272 and 70292. After we will calculate the factors of 70272 and 70292 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 70292

Prime factors of 70292 are 2, 17573. Prime factorization of 70292 in exponential form is:

70292 = 2² × 17573¹

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 70292

List of positive integer factors of 70292 that divides 70272 without a remainder.

1, 2, 4, 17573, 35146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70272 and 70292. The biggest common factor number is the GCF number.
So the greatest common factor 70272 and 70292 is 4.

Also check out the Least Common Multiple of 70272 and 70292