What is the Greatest Common Factor of 70614 and 70632?

Greatest common factor (GCF) of 70614 and 70632 is 18.

GCF(70614,70632) = 18

We will now calculate the prime factors of 70614 and 70632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70614 and 70632.

How to find the GCF of 70614 and 70632?

We will first find the prime factorization of 70614 and 70632. After we will calculate the factors of 70614 and 70632 and find the biggest common factor number .

Step-1: Prime Factorization of 70614

Prime factors of 70614 are 2, 3, 3923. Prime factorization of 70614 in exponential form is:

70614 = 2¹ × 3² × 3923¹

Step-2: Prime Factorization of 70632

Prime factors of 70632 are 2, 3, 109. Prime factorization of 70632 in exponential form is:

70632 = 2³ × 3⁴ × 109¹

Step-3: Factors of 70614

List of positive integer factors of 70614 that divides 70614 without a remainder.

1, 2, 3, 6, 9, 18, 3923, 7846, 11769, 23538, 35307

Step-4: Factors of 70632

List of positive integer factors of 70632 that divides 70614 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 109, 162, 216, 218, 324, 327, 436, 648, 654, 872, 981, 1308, 1962, 2616, 2943, 3924, 5886, 7848, 8829, 11772, 17658, 23544, 35316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70614 and 70632. The biggest common factor number is the GCF number.
So the greatest common factor 70614 and 70632 is 18.

Also check out the Least Common Multiple of 70614 and 70632