What is the Greatest Common Factor of 70452 and 70461?

Greatest common factor (GCF) of 70452 and 70461 is 9.

GCF(70452,70461) = 9

We will now calculate the prime factors of 70452 and 70461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70452 and 70461.

How to find the GCF of 70452 and 70461?

We will first find the prime factorization of 70452 and 70461. After we will calculate the factors of 70452 and 70461 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 70461

Prime factors of 70461 are 3, 7829. Prime factorization of 70461 in exponential form is:

70461 = 3² × 7829¹

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 70461

List of positive integer factors of 70461 that divides 70452 without a remainder.

1, 3, 9, 7829, 23487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70452 and 70461. The biggest common factor number is the GCF number.
So the greatest common factor 70452 and 70461 is 9.

Also check out the Least Common Multiple of 70452 and 70461