What is the Greatest Common Factor of 70758 and 70776?

Greatest common factor (GCF) of 70758 and 70776 is 18.

GCF(70758,70776) = 18

We will now calculate the prime factors of 70758 and 70776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70758 and 70776.

How to find the GCF of 70758 and 70776?

We will first find the prime factorization of 70758 and 70776. After we will calculate the factors of 70758 and 70776 and find the biggest common factor number .

Step-1: Prime Factorization of 70758

Prime factors of 70758 are 2, 3, 3931. Prime factorization of 70758 in exponential form is:

70758 = 2¹ × 3² × 3931¹

Step-2: Prime Factorization of 70776

Prime factors of 70776 are 2, 3, 983. Prime factorization of 70776 in exponential form is:

70776 = 2³ × 3² × 983¹

Step-3: Factors of 70758

List of positive integer factors of 70758 that divides 70758 without a remainder.

1, 2, 3, 6, 9, 18, 3931, 7862, 11793, 23586, 35379

Step-4: Factors of 70776

List of positive integer factors of 70776 that divides 70758 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 983, 1966, 2949, 3932, 5898, 7864, 8847, 11796, 17694, 23592, 35388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70758 and 70776. The biggest common factor number is the GCF number.
So the greatest common factor 70758 and 70776 is 18.

Also check out the Least Common Multiple of 70758 and 70776