What is the Greatest Common Factor of 76770 and 76776?

Greatest common factor (GCF) of 76770 and 76776 is 6.

GCF(76770,76776) = 6

We will now calculate the prime factors of 76770 and 76776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76770 and 76776.

How to find the GCF of 76770 and 76776?

We will first find the prime factorization of 76770 and 76776. After we will calculate the factors of 76770 and 76776 and find the biggest common factor number .

Step-1: Prime Factorization of 76770

Prime factors of 76770 are 2, 3, 5, 853. Prime factorization of 76770 in exponential form is:

76770 = 2¹ × 3² × 5¹ × 853¹

Step-2: Prime Factorization of 76776

Prime factors of 76776 are 2, 3, 7, 457. Prime factorization of 76776 in exponential form is:

76776 = 2³ × 3¹ × 7¹ × 457¹

Step-3: Factors of 76770

List of positive integer factors of 76770 that divides 76770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 853, 1706, 2559, 4265, 5118, 7677, 8530, 12795, 15354, 25590, 38385

Step-4: Factors of 76776

List of positive integer factors of 76776 that divides 76770 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 457, 914, 1371, 1828, 2742, 3199, 3656, 5484, 6398, 9597, 10968, 12796, 19194, 25592, 38388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76770 and 76776. The biggest common factor number is the GCF number.
So the greatest common factor 76770 and 76776 is 6.

Also check out the Least Common Multiple of 76770 and 76776