What is the Greatest Common Factor of 70452 and 70468?

Greatest common factor (GCF) of 70452 and 70468 is 4.

GCF(70452,70468) = 4

We will now calculate the prime factors of 70452 and 70468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70452 and 70468.

How to find the GCF of 70452 and 70468?

We will first find the prime factorization of 70452 and 70468. After we will calculate the factors of 70452 and 70468 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 70468

Prime factors of 70468 are 2, 79, 223. Prime factorization of 70468 in exponential form is:

70468 = 2² × 79¹ × 223¹

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 70468

List of positive integer factors of 70468 that divides 70452 without a remainder.

1, 2, 4, 79, 158, 223, 316, 446, 892, 17617, 35234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70452 and 70468. The biggest common factor number is the GCF number.
So the greatest common factor 70452 and 70468 is 4.

Also check out the Least Common Multiple of 70452 and 70468