What is the Greatest Common Factor of 70452 and 70464?

Greatest common factor (GCF) of 70452 and 70464 is 12.

GCF(70452,70464) = 12

We will now calculate the prime factors of 70452 and 70464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70452 and 70464.

How to find the GCF of 70452 and 70464?

We will first find the prime factorization of 70452 and 70464. After we will calculate the factors of 70452 and 70464 and find the biggest common factor number .

Step-1: Prime Factorization of 70452

Prime factors of 70452 are 2, 3, 19, 103. Prime factorization of 70452 in exponential form is:

70452 = 2² × 3² × 19¹ × 103¹

Step-2: Prime Factorization of 70464

Prime factors of 70464 are 2, 3, 367. Prime factorization of 70464 in exponential form is:

70464 = 2⁶ × 3¹ × 367¹

Step-3: Factors of 70452

List of positive integer factors of 70452 that divides 70452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 103, 114, 171, 206, 228, 309, 342, 412, 618, 684, 927, 1236, 1854, 1957, 3708, 3914, 5871, 7828, 11742, 17613, 23484, 35226

Step-4: Factors of 70464

List of positive integer factors of 70464 that divides 70452 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808, 11744, 17616, 23488, 35232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70452 and 70464. The biggest common factor number is the GCF number.
So the greatest common factor 70452 and 70464 is 12.

Also check out the Least Common Multiple of 70452 and 70464