What is the Greatest Common Factor of 70776 and 70788?

Greatest common factor (GCF) of 70776 and 70788 is 12.

GCF(70776,70788) = 12

We will now calculate the prime factors of 70776 and 70788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70776 and 70788.

How to find the GCF of 70776 and 70788?

We will first find the prime factorization of 70776 and 70788. After we will calculate the factors of 70776 and 70788 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70788

Prime factors of 70788 are 2, 3, 17, 347. Prime factorization of 70788 in exponential form is:

70788 = 2² × 3¹ × 17¹ × 347¹

Step-3: Factors of 70776

List of positive integer factors of 70776 that divides 70776 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

Step-4: Factors of 70788

List of positive integer factors of 70788 that divides 70776 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 347, 694, 1041, 1388, 2082, 4164, 5899, 11798, 17697, 23596, 35394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70776 and 70788. The biggest common factor number is the GCF number.
So the greatest common factor 70776 and 70788 is 12.

Also check out the Least Common Multiple of 70776 and 70788